REVIEW 2 major objections 7 minor 262 references
Input-to-state Stable Approximate Nonlinear Model Predictive Control with Realtime Feasibility
T0 review · 2 major / 7 minor · reviewed 2026-07-31 · grok-4.5
Pith's one-line read A tiny quadratic program from an ISS Lyapunov function and a robust barrier function delivers real-time robust nonlinear MPC with input-to-state stability.
desk verdict Clean, usable extension of their own infinitesimal-horizon MPC to true ISS with a tiny online QP; the theorem is short and correct, the practical value hangs on getting good polynomial certificates. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The ISS infinitesimal-horizon MPC quadratic program: at each measured state minimize the quadratic stage cost plus the directional derivative of the ISS-CLF, subject to a single robust CBF inequality that already accounts for the worst-case disturbance magnitude. Compatibility of the CLF/CBF pair supplies both feasibility and the ISS decrease.
What would settle it
On the spacecraft rate-damping or large-angle slew examples, either the online QP becomes infeasible, a closed-loop trajectory exits the claimed safe set under a disturbance inside the design bound, or the Lyapunov function fails to decrease to a neighborhood sized by that bound.
Extended reading notes
Core claim
If a pair of functions (approximate value function and approximate feasible-set barrier) satisfies the robust stabilizing terminal conditions—an ISS control Lyapunov inequality together with a robust control-barrier inequality—then the feedback obtained by minimizing the stage cost plus the Lie derivative of the Lyapunov function subject only to the barrier inequality renders the approximate safe set forward-invariant under every admissible disturbance and makes the Lyapunov function an ISS-Lyapunov function for the closed loop. Consequently the controller is defined for all future time, state constraints are never violated, and the origin is input-to-state stable; asymptotic stability is re
Load-bearing premise
A compatible polynomial ISS-Lyapunov function and robust barrier of modest degree can be found offline by sum-of-squares optimization and still leave a usefully large safe set around the chosen equilibrium.
Editorial extensions
If this is right
- Embedded platforms that cannot run multi-step robust NMPC can still obtain certified robust constraint satisfaction and ISS by solving one small QP per sample.
- When disturbances disappear the same controller recovers ordinary asymptotic stability, unlike min-max schemes that only guarantee practical stability.
- The offline SOS synthesis produces both the Lyapunov and barrier certificates and a polynomial fallback law that can be used without any online optimization.
- Because only the present disturbance bound enters the QP, the method can later be combined with a disturbance observer to reduce conservatism without enlarging the online problem.
Reading between the lines
- Reference-dependent certificates would be the natural next step to handle changing set-points without re-solving the full SOS program for every equilibrium.
- The same infinitesimal-horizon reduction should apply to other certificate pairs (e.g., contraction metrics plus barriers) whenever the certificates already encode robustness.
- Inter-sample invariance under zero-order hold remains an open practical gap; a sampled-data barrier correction could close it without changing the online QP size.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes ISS-∂MPC, a robust approximate nonlinear MPC law obtained from a compatible pair of an ISS control Lyapunov function and a robust control barrier function. Building on a prior nominal infinitesimal-horizon scheme, the online law reduces to a small quadratic program (15) that enforces a worst-case CBF inequality and minimizes a CLF dissipation rate plus stage cost. Theorem 1 states that if the pair satisfies the robust terminal conditions of Definition 2, the closed loop is robustly feasible on the approximate safe set and input-to-state stable, recovering asymptotic stability when disturbances vanish. A nonconvex sum-of-squares program (17) is given for polynomial synthesis. Two constrained spacecraft examples (rate damping and large-angle attitude control) compare the method to zoRo-RTI, the synthesized polynomial feedback, and a standard rate controller, reporting sub-millisecond solve times and constraint satisfaction.
Significance. Real-time robust NMPC under tight compute budgets remains a genuine bottleneck; reducing the online problem to a small QP while retaining ISS and robust constraint certificates is a useful contribution. The argument that minimizing only the current dissipation (rather than a min-max over future disturbance signals) yields ISS rather than merely practical stability is cleanly made and distinguishes the scheme from classical min-max MPC. Supplementary code and synthesis details support reproducibility. The practical limitation—that useful low-degree polynomial certificates must exist and are equilibrium-specific—is stated openly in §5.3 and does not undermine the certificate theorem itself. If the result holds as claimed, the method is a credible option for embedded nonlinear constrained control.
major comments (2)
- [Theorem 1, §5.3] Theorem 1 and Definition 2 are stated for the continuous-time closed loop under the feedback κ̂_∂. The implemented controller is sampled-data with zero-order hold (§5.1.1, 10 Hz; §5.3). The paper notes that inter-sample effects can destroy invariance (citing Breeden et al., 2022) but only reports that violations were not observed numerically. For the load-bearing claim of robust constraint satisfaction and ISS under the actual law, either a sampled-data certificate (e.g., a tightened CBF condition or maximum sampling period) or an explicit restriction of the guarantees to the continuous-time idealization should be added; the current gap sits between the theorem and the reported experiments.
- [§3.2, Eq. (13)–(15), Theorem 1 proof] In the reduction from (14) to (15) and in the proof of Theorem 1, the disturbance effect is bounded by an operator-norm term δ(x). The proof writes ∇ĥ(x)p(x)w ≤ ||∇ĥ(x)p(x)||_2 w̄, while (13) allows a general p-norm and the text defines δ via the induced operator norm. The argument is correct for p=2 (the case used in SOS and in the examples), but the write-up should state the norm consistently and note that the QP form (15) inherits the same p as the bound; otherwise the feasibility claim is not fully aligned with the general disturbance set (13).
minor comments (7)
- [Title, Abstract] Abstract and title use “Realtime”; the body mixes “real-time” and “realtime”. Prefer a single spelling (real-time).
- [§4.2, Eq. (17)] Eq. (17e) uses multiplier (s2−a) and class-K gain a in γ(r)=ar; a short sentence that a>0 is fixed (or optimized) would clarify the decision variables of (17).
- [Table 1] Table 1 “RMS ratio” is defined only in the text (§5.1.2) as RMS/RMS_ISS-∂MPC on [100,250] s; add the definition to the table caption.
- [§5 Figures] Figure 1 y-axis is log-scale RMS; state units (deg/s) in the caption. Figures 2–5 would benefit from stating that all 20 runs are overlaid.
- [References] Reference ApS (2026) MOSEK URL is still “YYY”; replace with the working link or drop the placeholder.
- [Abstract, Theorem 1, §5.3] Typos / wording: “constraint systems” → “constrained systems” (Abstract); “augment a recently introduced” spacing; “theclosed-loop” and similar missing spaces appear in the proof paragraph of Theorem 1 and in §5.3.
- [§5.1.1] The comparison baseline zoRo-RTI uses a 20 s horizon chosen “heuristically” so that the first step is feasible. A one-sentence sensitivity note (or a second horizon) would strengthen the fairness claim in Table 1.
Circularity Check
No significant circularity: Theorem 1 is a standard certificate implication; self-citation of the nominal precursor is present but not load-bearing.
full rationale
The paper's central derivation is: if a compatible pair (V̂, ĥ) meets the robust terminal conditions of Definition 2 (ISS-CLF decrease plus robust CBF invariance), then the QP (15) inherits robust forward invariance of the approximate feasible set and makes V̂ an ISS-Lyapunov function (Theorem 1). The proof is direct from the worst-case operator-norm bound on the disturbance channel and the fact that the QP minimizes the same dissipation expression already satisfied by some terminal controller κ. That implication does not redefine its hypothesis in terms of its conclusion, does not fit closed-loop trajectories and relabel the fit as a prediction, and does not import a uniqueness theorem. The SOS program (17) enforces the certificate inequalities offline; numerical spacecraft runs then evaluate independent metrics (RMS, stage cost, wall time, constraint satisfaction). The only self-citation of substance is the nominal infinitesimal-horizon scheme (Olucak et al., 2025), which this work augments; the robust terminal conditions, the QP, and Theorem 1 are stated and proved in the present manuscript. That is ordinary incremental research, not a load-bearing circular chain. Score 1 reflects only that minor, non-load-bearing self-citation.
Assumptions & free parameters
free parameters (5)
- Polynomial degree 2d of V̂ and ĥ
- Stage-cost matrices Q, R (and terminal S for baseline) =
problem-specific diagonals
- CBF class-K gain a in γ(r)=a r
- Disturbance radius w-bar =
1.2e-3 Nm
- Level β of the approximate safe set
assumptions (5)
- domain assumption Existence of a compatible ISS-CLF / robust-CBF pair satisfying Definition 2 on a sufficiently large set
- domain assumption System is continuous-time input-affine, polynomial, Lipschitz, with compact U, W containing the origin in the interior
- standard math Standard comparison-function characterization of ISS (Sontag) and robust CBF invariance
- domain assumption Operator-norm bound
ablaĥ p(x) w ≤ ||
ablaĥ p(x)||_op w-bar is tight enough for the chosen p-norm
- ad hoc to paper Sampled-data implementation with zero-order hold does not destroy invariance (inter-sample effect)
invented entities (1)
-
ISS-∂MPC quadratic program (15)
Cite this review
Pith. "Pith review of Input-to-state Stable Approximate Nonlinear Model Predictive Control with Realtime Feasibility." pith.science (2026). https://pith.science/paper/KT4D63OC
@misc{pith2026260728353,
author = {Pith},
title = {Pith review of: Input-to-state Stable Approximate Nonlinear Model Predictive Control with Realtime Feasibility},
year = {2026},
howpublished = {\url{https://pith.science/paper/KT4D63OC}},
note = {Machine review of arXiv:2607.28353}
}
read the original abstract
In this paper, a computationally lightweight approximate robust nonlinear model predictive control (NMPC) law is proposed based on a pair of input-to-state control Lyapunov function and robust control barrier function. The result builds upon and augments a recently introduced nominal infinitesimal- horizon NMPC scheme which permits small-sized quadratic programs to compute the feedback law for nonlinear constraint systems on embedded hardware in real time. Numerical experiments for nonlinear constrained spacecraft control and comparison to other robust NMPC schemes from the literature demonstrate the effectiveness of the proposed scheme.
Figures
Reference graph
Works this paper leans on
-
[6]
, year 2026
author ApS, M. , year 2026 . title MOSEK Optimization Suite version 11.1.15 . YYY
2026
-
[28]
, author Alamo, T
author Limon, D. , author Alamo, T. , author Raimondo, D.M. , author de la Pe \ n a , D.M. , author Bravo, J.M. , author Ferramosca, A. , author Camacho, E.F. , year 2009 . title Input-to- State Stability : A Unifying Framework for Robust Model Predictive Control , in: editor Magni, L. , editor Raimondo, D.M. , editor Allg \"o wer, F. (Eds.), booktitle No...
2009
-
[32]
author Olucak, J. , author Castello B. de Oliveira , A. , author Cunis, T. , year 2025 . title Safe-by- Design : Approximate Nonlinear Model Predictive Control with Real Time Feasibility . :10.48550/arXiv.2509.22422, arXiv:2509.22422 http://arxiv.org/abs/2509.22422
-
[34]
author Parrilo, P.A. , year 2003 . title Semidefinite programming relaxations for semialgebraic problems . journal Mathematical Programming volume 96 , pages 293--320 . :10.1007/s10107-003-0387-5
-
[36]
author Raimondo, D.M. , author Limon, D. , author Lazar, M. , author Magni, L. , author Camacho, E.F. , year 2009 . title Min-max Model Predictive Control of Nonlinear Systems : A Unifying Overview on Stability . journal European Journal of Control volume 15 , pages 5--21 . :10.3166/ejc.15.5-21
-
[37]
author Rakovi \'c , S.V. , year 2019 . title Robust model predictive control , in: editor Baillieul, J. , editor Samad, T. (Eds.), booktitle Encyclopedia of Systems and Control . publisher Springer London , address London , pp. pages 1--11 . :10.1007/978-1-4471-5102-9_2-2
-
[38]
author Rakovi \'c , S.V. , author Dai, L. , author Xia, Y. , year 2023 . title Homothetic Tube Model Predictive Control for Nonlinear Systems . journal IEEE Transactions on Automatic Control volume 68 , pages 4554--4569 . :10.1109/TAC.2022.3207415
arXiv 2023
-
[39]
author Sch \"u rmann, B. , author Kochdumper, N. , author Althoff, M. , year 2018 . title Reachset Model Predictive Control for Disturbed Nonlinear Systems , in: booktitle 2018 IEEE Conference on Decision and Control ( CDC ) , pp. pages 3463--3470 . :10.1109/CDC.2018.8619781
arXiv 2018
Show all 262 references
-
[40]
, author Mayne, D
author Scokaert, P. , author Mayne, D. , year 1998 . title Min-max feedback model predictive control for constrained linear systems . journal IEEE Transactions on Automatic Control volume 43 , pages 1136--1142 . :10.1109/9.704989
1998 doi
-
[41]
, author Balas, G.J
author Seiler, P. , author Balas, G.J. , year 2010 . title Quasiconvex sum-of-squares programming , in: booktitle 49th IEEE Conference on Decision and Control ( CDC ) , publisher IEEE , address Atlanta, GA, USA . pp. pages 3337--3342 . :10.1109/CDC.2010.5717672
2010
-
[42]
, author Bennani, S
author Sieber, J. , author Bennani, S. , author Zeilinger, M.N. , year 2022 . title A System Level Approach to Tube-Based Model Predictive Control . journal IEEE Control Systems Letters volume 6 , pages 776--781 . :10.1109/LCSYS.2021.3086190
2022
-
[43]
, year 2008
author Sontag, E.D. , year 2008 . title Input to State Stability : Basic Concepts and Results . publisher Springer Berlin Heidelberg , address Berlin, Heidelberg . volume volume 1932 . pp. pages 163--220 . :10.1007/978-3-540-77653-6_3
2008 doi
-
[44]
, author Banjac, G
author Stellato, B. , author Banjac, G. , author Goulart, P. , author Bemporad, A. , author Boyd, S. , year 2020 . title OSQP : an operator splitting solver for quadratic programs . journal Mathematical Programming Computation volume 12 , pages 637--672 . https://doi.org/10.10...
2020 doi
-
[45]
, author Frison, G
author Verschueren, R. , author Frison, G. , author Kouzoupis, D. , author Frey, J. , author van Duijkeren, N. , author Zanelli, A. , author Novoselnik, B. , author Albin, T. , author Quirynen, R. , author Diehl, M. , year 2022 . title Acados---a modular open-source framework ...
2022 doi
-
[46]
, author Margellos, K
author Wang, H. , author Margellos, K. , author Papachristodoulou, A. , year 2023 . title Assessing Safety for Control Systems Using Sum-of-Squares Programming , in: editor Ko c vara, M. , editor Mourrain, B. , editor Riener, C. (Eds.), booktitle Polynomial Optimization , Mome...
2023 doi
-
[47]
, author Maier, C
author Yu, S. , author Maier, C. , author Chen, H. , author Allg \"o wer, F. , year 2013 . title Tube MPC scheme based on robust control invariant set with application to Lipschitz nonlinear systems . journal Systems & Control Letters volume 62 , pages 194--200 . :10.1016/j.sy...
2013 doi
-
[48]
, author Reble, M
author Yu, S. , author Reble, M. , author Chen, H. , author Allg \"o wer, F. , year 2014 . title Inherent robustness properties of quasi-infinite horizon nonlinear model predictive control . journal Automatica volume 50 , pages 2269--2280 . :10.1016/j.automatica.2014.07.014
2014 doi
-
[49]
, author Frey, J
author Zanelli, A. , author Frey, J. , author Messerer, F. , author Diehl, M. , year 2021 . title Zero- Order Robust Nonlinear Model Predictive Control with Ellipsoidal Uncertainty Sets . journal IFAC-PapersOnLine volume 54 , pages 50--57 . :10.1016/j.ifacol.2021.08.523
2021 doi
-
[50]
First- and
Bergmann, Ronny and Herzog, Roland and Ortiz López, Julián and Schiela, Anton , date =. First- and. doi:10.1007/s10957-022-02107-x , langid =
-
[51]
2026 , version =
Olucak, Jan and Cunis, Torbjørn , publisher =. 2026 , version =. doi:10.18419/DARUS-5769 , url =
2026 doi
-
[52]
Automatica , volume =
Lossless Convexification of a Class of Optimal Control Problems with Non-Convex Control Constraints , author =. Automatica , volume =. doi:10.1016/j.automatica.2010.10.037 , urldate =
2010 doi
- [53]
-
[54]
Discrete
Agrawal, Ayush and Sreenath, Koushil , year = 2017, month = jul, publisher =. Discrete. Robotics:. doi:10.15607/RSS.2017.XIII.073 , urldate =
2017 doi
-
[55]
IEEE Trans
Abort-. IEEE Trans. Contr. Syst. Technol. , pages =. doi:10.1109/TCST.2022.3216077 , urldate =
2022
-
[56]
, year = 2021, journal =
Aguilar Marsillach, Daniel and Holzinger, Marcus J. , year = 2021, journal =. Spacecraft. doi:10.2514/1.G005322 , urldate =
2021 doi
-
[57]
Ahmadi, Amir Ali and Orfe, Princeton , pages =. Sum of
-
[58]
Improving Efficiency and Scalability of Sum of Squares Optimization:
Ahmadi, Amir Ali and Hall, Georgina and Papachristodoulou, Antonis and Saunderson, James and Zheng, Yang , year = 2017, month = dec, pages =. Improving Efficiency and Scalability of Sum of Squares Optimization:. 2017. doi:10.1109/CDC.2017.8263706 , urldate =
2017
-
[59]
doi:10.1137/18M118935X , urldate =
Ahmadi, Amir Ali and Majumdar, Anirudha , year = 2019, month = jan, journal =. doi:10.1137/18M118935X , urldate =
2019 doi
-
[60]
and Tomlin, Claire J
Akametalu, Anayo K. and Tomlin, Claire J. and Chen, Mo , year = 2018, journal =. Reachability-. doi:10.2514/1.G003490 , urldate =
2018 doi
-
[61]
Alamo, Teodoro and Ramirez, Daniel R and Mu. Min-
-
[62]
and Limon, D
Alamo, T. and Limon, D. and Camacho, E.F. and Bravo, J.M. , year = 2005, month = may, journal =. Robust. doi:10.1049/ip-cta:20040480 , urldate =
2005 doi
-
[63]
and He, Chaozhe R
Alan, Anil and Taylor, Andrew J. and He, Chaozhe R. and Orosz, G. Safe. IEEE Control Systems Letters , volume =. doi:10.1109/LCSYS.2021.3087443 , urldate =
2021
-
[64]
Alessio, Alessandro and Bemporad, Alberto , editor =. A. Nonlinear. doi:10.1007/978-3-642-01094-1_29 , urldate =
-
[65]
and Bates, Cuyler N
Allan, Douglas A. and Bates, Cuyler N. and Risbeck, Michael J. and Rawlings, James B. , year = 2017, month = aug, journal =. On the Inherent Robustness of Optimal and Suboptimal Nonlinear. doi:10.1016/j.sysconle.2017.03.005 , urldate =
2017 doi
-
[66]
and Clark, Ashley A
Allen, Ross E. and Clark, Ashley A. and Starek, Joseph A. and Pavone, Marco , year = 2014, month = sep, pages =. A Machine Learning Approach for Real-Time Reachability Analysis , booktitle =. doi:10.1109/IROS.2014.6942859 , urldate =
2014
-
[67]
Reachability
Althoff, Matthias , langid =. Reachability
-
[68]
Online Safety Verification of Trajectories for Unmanned Flight with Offline Computed Robust Invariant Sets , booktitle =
Althoff, Daniel and Althoff, Matthias and Scherer, Sebastian , year = 2015, month = sep, pages =. Online Safety Verification of Trajectories for Unmanned Flight with Offline Computed Robust Invariant Sets , booktitle =. doi:10.1109/IROS.2015.7353861 , abstract =
2015
-
[69]
Althoff, Matthias and Frehse, Goran and Girard, Antoine , year = 2021, month = may, journal =. Set. doi:10.1146/annurev-control-071420-081941 , urldate =
2021 doi
-
[70]
and Xu, Xiangru and Grizzle, Jessy W
Ames, Aaron D. and Xu, Xiangru and Grizzle, Jessy W. and Tabuada, Paulo , year = 2017, month = aug, journal =. Control. doi:10.1109/TAC.2016.2638961 , urldate =
2017
-
[71]
and Coogan, Samuel and Egerstedt, Magnus and Notomista, Gennaro and Sreenath, Koushil and Tabuada, Paulo , year = 2019, month = jun, pages =
Ames, Aaron D. and Coogan, Samuel and Egerstedt, Magnus and Notomista, Gennaro and Sreenath, Koushil and Tabuada, Paulo , year = 2019, month = jun, pages =. Control. 2019 18th. doi:10.23919/ECC.2019.8796030 , abstract =
2019
-
[72]
A Network Decomposition Approach for Efficient Sum of Squares Programming Based Analysis , booktitle =
Anderson, James and Papachristodoulou, Antonis , year = 2010, month = jun, pages =. A Network Decomposition Approach for Efficient Sum of Squares Programming Based Analysis , booktitle =. doi:10.1109/ACC.2010.5530945 , urldate =
2010
-
[73]
Dynamical System Decomposition for Efficient, Sparse Analysis , booktitle =
Anderson, James and Papachristodoulou, Antonis , year = 2010, month = dec, pages =. Dynamical System Decomposition for Efficient, Sparse Analysis , booktitle =. doi:10.1109/CDC.2010.5717269 , abstract =
2010
-
[74]
Annual Reviews in Control , volume =
System Level Synthesis , author =. Annual Reviews in Control , volume =. doi:10.1016/j.arcontrol.2019.03.006 , urldate =
2019 doi
-
[75]
Andersson, Joel A. E. and Rawlings, James B. , year = 2018, month = jan, journal =. Sensitivity. doi:10.1016/j.ifacol.2018.11.055 , urldate =
2018 doi
-
[76]
Andersson, Joel A. E. and Gillis, Joris and Horn, Greg and Rawlings, James B. and Diehl, Moritz , year = 2019, month = mar, journal =. doi:10.1007/s12532-018-0139-4 , urldate =
2019 doi
-
[77]
and Casavola, A
Angeli, D. and Casavola, A. and Mosca, E. , year = 2002, month = dec, volume =. Ellipsoidal Low-Demanding. Proceedings of the 41st. doi:10.1109/CDC.2002.1184300 , urldate =
2002 arXiv
-
[78]
MOSEK Optimization Suite version 11.1.15
MOSEK ApS. MOSEK Optimization Suite version 11.1.15
-
[79]
Networks of
Arcak, Murat and Meissen, Chris and Packard, Andrew , year = 2016, series =. Networks of. doi:10.1007/978-3-319-29928-0 , urldate =
2016 doi
-
[80]
Development of a
Arslantas, Yunus Emre , year = 2017, month = jun, school =. Development of a
2017
-
[81]
Recent Progress in Continuous and Hybrid Reachability Analysis , booktitle =
Asarin, Eugene and Dang, Thao and Frehse, Goran and Girard, Antoine and Le Guernic, Colas and Maler, Oded , year = 2006, month = oct, pages =. Recent Progress in Continuous and Hybrid Reachability Analysis , booktitle =. doi:10.1109/CACSD-CCA-ISIC.2006.4776877 , abstract =
2006
-
[82]
A Computational Method for Non-Convex Reachable Sets Using Optimal Control , booktitle =
Baier, Robert and Gerdts, Matthias , year = 2009, month = aug, pages =. A Computational Method for Non-Convex Reachable Sets Using Optimal Control , booktitle =. doi:10.23919/ECC.2009.7074386 , abstract =
2009
-
[83]
NACO , volume =
Approximation of Reachable Sets Using Optimal Control Algorithms , author =. NACO , volume =. doi:10.3934/naco.2013.3.519 , urldate =
2013 doi
-
[84]
Balau, Andreea and Lazar, Corneliu , year = 2011, month = sep, pages =. One. 2011. doi:10.1109/ECBS-EERC.2011.18 , abstract =
2011 doi
-
[85]
, year = 2017, month = dec, pages =
Bansal, Somil and Chen, Mo and Herbert, Sylvia and Tomlin, Claire J. , year = 2017, month = dec, pages =. Hamilton-. 2017. doi:10.1109/CDC.2017.8263977 , urldate =
2017
-
[87]
Barrett, Layne C , journal =. Applied
-
[88]
, year = 2018, month = sep, urldate =
Barth, Janet L. , year = 2018, month = sep, urldate =. Space
2018
-
[89]
and Brunner, Florian D
Bayer, Florian A. and Brunner, Florian D. and Lazar, Mircea and Wijnand, Marc and Allg. A Tube-Based Approach to Nonlinear Explicit. 2016. doi:10.1109/CDC.2016.7798884 , urldate =
2016
-
[90]
Robustness in Identification and Control , author =
Robust Model Predictive Control:. Robustness in Identification and Control , author =. doi:10.1007/BFb0109870 , urldate =
-
[91]
Optimal Control Theory with Aerospace Applications , author =
- [92]
-
[93]
Looking to the
Bennani, Samir and Girouart, Benedicte and Casasco, Massimo and Oddenino, Davide and Vandersteen, Jeroen and. Looking to the
-
[94]
Automatica , volume =
On the Minimax Reachability of Target Sets and Target Tubes , author =. Automatica , volume =. doi:10.1016/0005-1098(71)90066-5 , urldate =
-
[95]
IEEE Trans
Infinite Time Reachability of State-Space Regions by Using Feedback Control , author =. IEEE Trans. Automat. Contr. , volume =. doi:10.1109/TAC.1972.1100085 , urldate =
1972
-
[96]
Dynamic Programming and Optimal Control , author =
-
[97]
, year = 2010, month = jan, edition =
Betts, John T. , year = 2010, month = jan, edition =. Practical. doi:10.1137/1.9780898718577 , urldate =
2010 doi
-
[98]
, year = 2010, series =
Biegler, Lorenz T. , year = 2010, series =. Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical Processes , shorttitle =
2010
-
[99]
Blanchini, Franco and Miani, Stefano , year = 2015, series =. Set-. doi:10.1007/978-3-319-17933-9 , urldate =
2015 doi
-
[100]
Semidefinite Optimization and Convex Algebraic Geometry , editor =
-
[101]
Linear Matrix Inequalities in System and Control Theory , editor =
-
[102]
Convex Optimization , author =
-
[103]
Bravo, J. M. and Limon, D. and Alamo, T. and Camacho, E. F. , year = 2005, month = sep, journal =. On the Computation of Invariant Sets for Constrained Nonlinear Systems:. doi:10.1016/j.automatica.2005.04.015 , urldate =
2005 doi
-
[104]
Bravo, J. M. and Alamo, T. and Camacho, E. F. , year = 2006, month = oct, journal =. Robust. doi:10.1016/j.automatica.2006.05.003 , urldate =
2006 doi
-
[105]
Breeden, Joseph and Garg, Kunal and Panagou, Dimitra , year = 2022, journal =. Control. doi:10.1109/LCSYS.2021.3076127 , urldate =
2022
-
[106]
Autonomous
Breeden, Joseph and Panagou, Dimitra , year = 2023, month = oct, journal =. Autonomous. doi:10.2514/1.G007456 , urldate =
2023 doi
-
[107]
Brew, Julian and Holzinger, Marcus J and Schuet, Stefan , langid =
-
[108]
Bui, Minh and Lu, Michael and Hojabr, Reza and Chen, Mo and Shriraman, Arrvindh , year = 2021, month = sep, pages =. Real-. 2021. doi:10.1109/IROS51168.2021.9636410 , abstract =
2021
-
[109]
and Fagiano, Lorenzo , year = 2013, month = jan, journal =
Calafiore, Giuseppe C. and Fagiano, Lorenzo , year = 2013, month = jan, journal =. Robust. doi:10.1109/TAC.2012.2203054 , urldate =
2013
-
[110]
Cannon, Mark and Buerger, Johannes and Kouvaritakis, Basil and Rakovic, Sa. Robust. IEEE Transactions on Automatic Control , volume =. doi:10.1109/TAC.2011.2135190 , urldate =
2011
-
[111]
and Munk, Michelle M
Carson, John M. and Munk, Michelle M. and Sostaric, Ronald R. and Estes, Jay N. and Amzajerdian, Farzin and Blair, James B. and Rutishauser, David K. and Restrepo, Carolina I. and. The. doi:10.2514/6.2019-0660 , urldate =
2019 doi
-
[112]
Chai, Runqi and Tsourdos, Antonios and Gao, Huijun and Xia, Yuanqing and Chai, Senchun , year = 2022, month = apr, journal =. Dual-. doi:10.1109/TIE.2021.3076729 , urldate =
2022
-
[113]
, year = 2011, month = jan, journal =
Chakraborty, Abhijit and Seiler, Peter and Balas, Gary J. , year = 2011, month = jan, journal =. Susceptibility of. doi:10.2514/1.50675 , urldate =
2011 doi
-
[114]
Control Engineering Practice , volume =
Nonlinear Region of Attraction Analysis for Flight Control Verification and Validation , author =. Control Engineering Practice , volume =. doi:10.1016/j.conengprac.2010.12.001 , urldate =
2010 doi
- [115]
-
[116]
Efficient
Chan, Kai Wah and Seelbinder, David and Theil, Stephan and Knauer, Matthias and B. Efficient. PAMM , volume =. doi:10.1002/pamm.201800241 , urldate =
-
[117]
Optimization-
Chan, Kai Wah , year = 2022, month = oct, publisher =. Optimization-. doi:10.26092/elib/1922 , urldate =
2022 doi
-
[118]
Satellite
Chartrand, Mark , year = 2004, month = apr, volume =. Satellite. doi:10.1117/3.2249071.ch14 , urldate =
2004 doi
-
[119]
and Allg
Chen, H. and Allg. A. Automatica , volume =. doi:10.1016/S0005-1098(98)00073-9 , urldate =
-
[120]
Decomposed
Chen, Xin and Sankaranarayanan, Sriram , year = 2016, month = nov, pages =. Decomposed. 2016. doi:10.1109/RTSS.2016.011 , abstract =
2016 doi
-
[121]
, year = 2016, month = dec, pages =
Chen, Mo and Herbert, Sylvia and Tomlin, Claire J. , year = 2016, month = dec, pages =. Fast Reachable Set Approximations via State Decoupling Disturbances , booktitle =. doi:10.1109/CDC.2016.7798268 , abstract =
2016
-
[122]
Chen, Jinfeng and Gao, Zhiqiang and Lin, Qin , year = 2023, month = dec, pages =. Robust. 2023 62nd. doi:10.1109/CDC49753.2023.10383928 , urldate =
2023
-
[123]
Chernick, Michelle and D'Amico, Simone , year = 2021, journal =. Closed-. doi:10.2514/1.G005218 , urldate =
2021 doi
-
[124]
and Rossiter, J
Chisci, L. and Rossiter, J. A. and Zappa, G. , year = 2001, month = jul, journal =. Systems with Persistent Disturbances: Predictive Control with Restricted Constraints , shorttitle =. doi:10.1016/S0005-1098(01)00051-6 , urldate =
2001 doi
-
[125]
Significance of
Chung, Seung and Williams, Brian , publisher =. Significance of. doi:10.2514/6.2010-3447 , urldate =
2010 doi
-
[126]
Verification and
Clark, Andrew , year = 2021, month = dec, pages =. Verification and. 2021 60th. doi:10.1109/CDC45484.2021.9683520 , urldate =
2021
-
[127]
, year = 2022, month = dec, pages =
Conger, Lauren and Li, Jing Shuang Lisa and Mazumdar, Eric and Brunton, Steven L. , year = 2022, month = dec, pages =. Nonlinear. 2022. doi:10.1109/CDC51059.2022.9993187 , urldate =
2022
-
[128]
and Limon, Daniel and Garone, Emanuele , year = 2021, month = jul, journal =
Cotorruelo, Andres and Hosseinzadeh, Mehdi and Ramirez, Daniel R. and Limon, Daniel and Garone, Emanuele , year = 2021, month = jul, journal =. Reference Dependent Invariant Sets:. doi:10.1016/j.automatica.2021.109614 , urldate =
2021
-
[129]
Croley, Patrick A , langid =
-
[130]
Backwards Iteration Approaches for Sum-of-Squares Storage Functions , author =
-
[131]
Modeling,
Cunis, Torbj. Modeling,
-
[132]
Automatica , volume =
Viability, Viscosity, and Storage Functions in Model-Predictive Control with Terminal Constraints , author =. Automatica , volume =. doi:10.1016/j.automatica.2021.109748 , urldate =
2021
-
[133]
Sequential Sum-of-Squares Programming for Analysis of Nonlinear Systems , booktitle =
Cunis, Torbj. Sequential Sum-of-Squares Programming for Analysis of Nonlinear Systems , booktitle =. doi:10.23919/ACC55779.2023.10156153 , urldate =
2023
-
[134]
Optim Lett , volume =
Decomposed Quasiconvex Optimization with Application to Generalized Cone Problems , author =. Optim Lett , volume =. doi:10.1007/s11590-024-02174-1 , urldate =
-
[136]
Verification and
Dai, Hongkai and Jiang, Chuanrui and Zhang, Hongchao and Clark, Andrew , year = 2024, month = dec, pages =. Verification and. 2024. doi:10.1109/CDC56724.2024.10885943 , urldate =
2024
-
[137]
and Banjac, G
Stellato, B. and Banjac, G. and Goulart, P. and Bemporad, A. and Boyd, S. , title =. Mathematical Programming Computation , volume =. 2020 , doi =
2020
-
[138]
Experimental
Danielson, Claus and Kloeppel, Joseph and Petersen, Christopher , year = 2023, month = oct, journal =. Experimental. doi:10.2514/1.G007586 , urldate =
2023 doi
- [139]
-
[140]
and Hauser, John and Chen, Xudong and Nicotra, Marco M
Dearing, Thomas L. and Hauser, John and Chen, Xudong and Nicotra, Marco M. and Petersen, Christopher , year = 2022, journal =. Efficient. doi:10.2514/1.G006166 , urldate =
2022 doi
-
[141]
Estimating
Devonport, Alex and Arcak, Murat , year = 2020, month = jul, pages =. Estimating. Proceedings of the 2nd
2020
-
[142]
Kinematic
Diaz Ramos, Manuel and Schaub, Hanspeter , year = 2018, month = sep, journal =. Kinematic. doi:10.2514/1.G002873 , urldate =
2018 doi
-
[143]
, year = 2018, month = jun, pages =
Di Cairano, Stefano and Kolmanovsky, Ilya V. , year = 2018, month = jun, pages =. Real-Time Optimization and Model Predictive Control for Aerospace and Automotive Applications , booktitle =. doi:10.23919/ACC.2018.8431585 , urldate =
2018
-
[144]
and Findeisen, R
Diehl, M. and Findeisen, R. and Allgower, F. and Bock, H.G. and Schloder, J. , year = 2003, month = dec, volume =. Stability of Nonlinear Model Predictive Control in the Presence of Errors Due to Numerical Online Optimization , booktitle =. doi:10.1109/CDC.2003.1272809 , abstract =
2003 arXiv
-
[145]
IEE Proceedings - Control Theory and Applications , volume =
Nominal Stability of Real-Time Iteration Scheme for Nonlinear Model Predictive Control , author =. IEE Proceedings - Control Theory and Applications , volume =
-
[146]
Diehl, Moritz and Bock, Hans Georg and Schl. A. SIAM J. Control Optim. , volume =. doi:10.1137/S0363012902400713 , urldate =
-
[148]
and Shao, Xiaodong and Wu, Huai-Ning , journal =
Duan, Chao and Hu, Qinglei and Zhu, Zheng H. and Shao, Xiaodong and Wu, Huai-Ning , journal =. Kinematic. doi:10.2514/1.G006968 , urldate =
-
[149]
Finite-Horizon Controllability and Reachability for Deterministic and Stochastic Linear Control Systems with Convex Constraints , booktitle =
Dueri, Daniel and A. Finite-Horizon Controllability and Reachability for Deterministic and Stochastic Linear Control Systems with Convex Constraints , booktitle =. doi:10.1109/ACC.2014.6859302 , urldate =
2014
-
[150]
Real-Time
Dueri, Daniel , year = 2018, address =. Real-Time
2018
-
[151]
, year = 2022, month = jun, pages =
Durand, Helen and Ames, Aaron D. , year = 2022, month = jun, pages =. A. 2022. doi:10.23919/ACC53348.2022.9867411 , urldate =
2022
- [152]
-
[153]
Computers & Chemical Engineering , series =
Analysis and Design of Polynomial Control Systems Using Dissipation Inequalities and Sum of Squares , author =. Computers & Chemical Engineering , series =. doi:10.1016/j.compchemeng.2006.05.014 , urldate =
2006 doi
-
[154]
Dissipation Inequalities in Systems Theory:
Ebenbauer, Christian and Raff, Tobias and Allg. Dissipation Inequalities in Systems Theory:. 6th. doi:10.4171/056-1/2 , urldate =
-
[155]
Constrained
Eren, Utku and Dueri, Daniel and A. Constrained. Journal of Guidance, Control, and Dynamics , volume =. doi:10.2514/1.G000882 , urldate =
-
[156]
Eren, Utku and Prach, Anna and Ko. Model. Journal of Guidance, Control, and Dynamics , volume =. doi:10.2514/1.G002507 , urldate =
-
[157]
Europa Study Team , year = 2012, month = may, file =
2012
- [158]
-
[159]
Scenario and
Fagiano, Lorenzo and Schildbach, Georg and Tanaskovic, Marko and Morari, Manfred , year = 2015, month = jan, journal =. Scenario and. doi:10.1016/j.ifacol.2015.11.305 , urldate =
2015 doi
-
[160]
, year = 2014, month = may, journal =
Falugi, Paola and Mayne, David Q. , year = 2014, month = may, journal =. Getting. doi:10.1109/TAC.2013.2287727 , urldate =
2014
-
[161]
and Dahleh, M
Feron, E. and Dahleh, M. and Frazzoli, E. and Kornfeld, R. , year = 2001, month = aug, series =. A Randomized Attitude Slew Planning Algorithm for Autonomous Spacecraft , booktitle =. doi:10.2514/6.2001-4155 , urldate =
2001 doi
-
[162]
doi:10.1007/s12532-014-0071-1 , urldate =
Ferreau, Hans Joachim and Kirches, Christian and Potschka, Andreas and Bock, Hans Georg and Diehl, Moritz , year = 2014, month = dec, journal =. doi:10.1007/s12532-014-0071-1 , urldate =
2014 doi
- [163]
-
[164]
, year = 2023, publisher =
Fichter, Walter and Geshnizjani, Ramin T. , year = 2023, publisher =. Principles of. doi:10.1007/978-3-031-04780-0 , urldate =
2023 doi
-
[165]
Findeisen, Rolf and Allgower, Frank , year = 2002, abstract =. An
2002
-
[166]
The Quasi-Infinite Horizon Approach to Nonlinear Model Predictive Control , booktitle =
Findeisen, Rolf and Allg. The Quasi-Infinite Horizon Approach to Nonlinear Model Predictive Control , booktitle =. doi:10.1007/3-540-45802-6_8 , urldate =
-
[167]
Deterministic and
Fleming, Wendell and Rishel, Raymond , year = 1975, publisher =. Deterministic and. doi:10.1007/978-1-4612-6380-7 , urldate =
1975 doi
-
[168]
Fleming, James and Kouvaritakis, Basil and Cannon, Mark , year = 2015, month = apr, journal =. Robust. doi:10.1109/TAC.2014.2336358 , urldate =
2015
-
[169]
Proceedings of the National Academy of Sciences of the United States of America , volume =
Mining in Space Could Spur Sustainable Growth , author =. Proceedings of the National Academy of Sciences of the United States of America , volume =. doi:10.1073/pnas.2221345120 , urldate =
-
[170]
User Manual for
Fletcher, Roger and Leyffer, Sven , abstract =. User Manual for
-
[171]
Mathematical Programming , volume =
Nonlinear Programming without a Penalty Function , author =. Mathematical Programming , volume =. doi:10.1007/s101070100244 , urldate =
-
[172]
Encyclopedia of Optimization , author =
-
[173]
Freeman, R. A. and Kokotovic, P. V. , year = 1996, month = jul, journal =. Inverse. doi:10.1137/S0363012993258732 , urldate =
1996 doi
-
[174]
and Hudson, Jennifer and
Frekhaug, Thomas A. and Hudson, Jennifer and. Robust. Journal of Guidance, Control, and Dynamics , volume =. doi:10.2514/1.G008190 , urldate =
-
[175]
Efficient
Frey, Jonathan and Gao, Yunfan and Messerer, Florian and Lahr, Amon and Zeilinger, Melanie and Diehl, Moritz , year = 2024, month = jun, pages =. Efficient. 2024. doi:10.23919/ECC64448.2024.10591148 , urldate =
2024
-
[176]
Advanced-
Frey, Jonathan and Nurkanovi. Advanced-. IEEE Control Systems Letters , volume =. doi:10.1109/LCSYS.2024.3412007 , urldate =
2024
-
[177]
doi:10.1016/j.ifacol.2020.12.073 , urldate =
Frison, Gianluca and Diehl, Moritz , year = 2020, month = jan, journal =. doi:10.1016/j.ifacol.2020.12.073 , urldate =
2020 doi
-
[178]
Review on Space Robotics:
Gao, Yang and Chien, Steve , year = 2017, month = jun, journal =. Review on Space Robotics:. doi:10.1126/scirobotics.aan5074 , urldate =
2017 doi
-
[179]
Advances in the
Garg, Kunal and Usevitch, James and Breeden, Joseph and Black, Mitchell and Agrawal, Devansh and Parwana, Hardik and Panagou, Dimitra , year = 2024, journal =. Advances in the. doi:10.1016/j.arcontrol.2024.100945 , urldate =
2024
-
[180]
Gavilan, Francisco and Vazquez, Rafael and Camacho, Eduardo F , abstract =. Robust
-
[181]
, year = 1991, month = dec, pages =
Gayek, J.E. , year = 1991, month = dec, pages =. A Survey of Techniques for Approximating Reachable and Controllable Sets , booktitle =. doi:10.1109/CDC.1991.261702 , urldate =
1991
-
[182]
Constructing
Gong, Zheng and Zhao, Muhan and Bewley, Thomas and Herbert, Sylvia , year = 2023, journal =. Constructing. doi:10.1109/LCSYS.2022.3228728 , urldate =
2023
-
[183]
Gonzalez, Camilo and Asadi, Houshyar and Kooijman, Lars and Lim, Chee Peng , year = 2023, month = dec, number =. Neural. doi:10.48550/arXiv.2309.02668 , urldate =. arXiv , langid =:2309.02668 , primaryclass =
2023 doi
-
[184]
Inner Approximated Reachability Analysis , booktitle =
Goubault, Eric and Mullier, Olivier and Putot, Sylvie and Kieffer, Michel , year = 2014, month = apr, pages =. Inner Approximated Reachability Analysis , booktitle =. doi:10.1145/2562059.2562113 , urldate =
2014
-
[185]
Inner and Outer Reachability for the Verification of Control Systems , booktitle =
Goubault, Eric and Putot, Sylvie , year = 2019, month = apr, series =. Inner and Outer Reachability for the Verification of Control Systems , booktitle =. doi:10.1145/3302504.3311794 , urldate =
2019
-
[186]
Goubault, Eric and Putot, Sylvie , year = 2020, month = oct, journal =. Robust. doi:10.1109/LCSYS.2020.2997261 , urldate =
2020
-
[187]
Automatica , volume =
Optimization over State Feedback Policies for Robust Control with Constraints , author =. Automatica , volume =. doi:10.1016/j.automatica.2005.08.023 , urldate =
2005 doi
- [188]
-
[189]
Explicit
Grancharova, Alexandra and Johansen, Tor Arne , year = 2012, series =. Explicit. doi:10.1007/978-3-642-28780-0 , urldate =
2012 doi
-
[190]
Nonlinear
Grandia, Ruben and Taylor, Andrew and Singletary, Andrew and Hutter, Marco and Ames, Aaron , year = 2020, month = jul, publisher =. Nonlinear. Robotics:. doi:10.15607/RSS.2020.XVI.098 , urldate =
2020 doi
-
[191]
Grantham, W. J. , year = 1981, month = dec, journal =. Estimating. doi:10.1115/1.3139685 , urldate =
1981 doi
-
[192]
Gray, Alfred and Abbena, Elsa and Salamon, Simon , langid =. Modern
-
[193]
Automatica , volume =
Examples When Nonlinear Model Predictive Control Is Nonrobust , author =. Automatica , volume =. doi:10.1016/j.automatica.2004.04.014 , urldate =
2004 doi
-
[194]
Introduction to
Grippo, Luigi and Sciandrone, Marco , year = 2023, series =. Introduction to. doi:10.1007/978-3-031-26790-1 , urldate =
2023 doi
- [195]
-
[196]
and Di Cairano, Stefano and Bloch, Anthony M
Gupta, Rohit and Kalabic, Uros V. and Di Cairano, Stefano and Bloch, Anthony M. and Kolmanovsky, Ilya V. , year = 2015, month = jul, pages =. Constrained Spacecraft Attitude Control on. 2015. doi:10.1109/ACC.2015.7171188 , urldate =
2015
-
[197]
Towards a
Gurriet, Thomas and Singletary, Andrew and Reher, Jacob and Ciarletta, Laurent and Feron, Eric and Ames, Aaron , year = 2018, month = apr, pages =. Towards a. 2018. doi:10.1109/ICCPS.2018.00018 , urldate =
2018
- [198]
-
[199]
doi:10.1002/pamm.202300241 , urldate =
Hansknecht, Christoph and Kirches, Christian , year = 2023, journal =. doi:10.1002/pamm.202300241 , urldate =
2023 doi
-
[201]
and Sanjeev, Suvansh and Gibson, Marsalis and Sreenath, Koushil and Tomlin, Claire J
Herbert, Sylvia and Choi, Jason J. and Sanjeev, Suvansh and Gibson, Marsalis and Sreenath, Koushil and Tomlin, Claire J. , year = 2021, month = may, pages =. Scalable. 2021. doi:10.1109/ICRA48506.2021.9561561 , urldate =
2021
-
[202]
and Lazar, Mircea and Kolmanovsky, Ilya V
Hermans, Ralph M. and Lazar, Mircea and Kolmanovsky, Ilya V. and Di Cairano, Stefano , year = 2013, month = sep, journal =. Horizon-1. doi:10.1109/TCST.2012.2210223 , abstract =
2013
-
[203]
Ho, Dimitar , year = 2020, month = jul, pages =. A. 2020. doi:10.23919/ACC45564.2020.9147857 , urldate =
2020
-
[204]
Holzinger, Marcus and Scheeres, Daniel , abstract =
-
[205]
and Scheeres, Daniel J
Holzinger, Marcus J. and Scheeres, Daniel J. , year = 2012, month = apr, journal =. Reachability. doi:10.1109/TAES.2012.6178080 , abstract =
2012
-
[206]
Expensive
Huang, Deqing and Jin, Bo and Lasagna, Davide and Chernyshenko, Sergei and Tutty, Owen , year = 2017, month = nov, journal =. Expensive. doi:10.1109/TCST.2016.2638881 , urldate =
2017
-
[207]
doi:10.1145/3358228 , urldate =
Huang, Chao and Fan, Jiameng and Li, Wenchao and Chen, Xin and Zhu, Qi , year = 2019, month = oct, journal =. doi:10.1145/3358228 , urldate =
2019 doi
-
[208]
doi:10.1108/00022661111159906 , urldate =
Hutao, Cui and Xiaojun, Cheng and Rui, Xu and Pingyuan, Cui , year = 2011, month = jan, journal =. doi:10.1108/00022661111159906 , urldate =
2011 doi
-
[209]
An Equilibrium-Independent Region of Attraction Formulation for Systems with Uncertainty-Dependent Equilibria , booktitle =
Iannelli, Andrea and Marcos, Andr. An Equilibrium-Independent Region of Attraction Formulation for Systems with Uncertainty-Dependent Equilibria , booktitle =. doi:10.1109/CDC.2018.8619153 , urldate =
2018
-
[210]
and Egerstedt, Magnus , year = 2020, month = oct, journal =
Ibuki, Tatsuya and Wilson, Sean and Ames, Aaron D. and Egerstedt, Magnus , year = 2020, month = oct, journal =. Distributed. doi:10.1109/LCSYS.2020.2997952 , urldate =
2020
-
[211]
Ichihara, Hiroyuki , year = 2012, month = jul, journal =. Sum of. doi:10.9746/jcmsi.5.218 , urldate =
2012 doi
-
[212]
Nonlinear
Isidori, Alberto , year = 1995, series =. Nonlinear. doi:10.1007/978-1-84628-615-5 , urldate =
1995 doi
- [213]
-
[214]
An Integrated
Iturbe, Xabier and Keymeulen, Didier and Ozer, Emre and Yiu, Patrick and Berisford, Daniel and Hand, Kevin and Carlson, Robert , year = 2015, month = oct, pages =. An Integrated. 2015. doi:10.1109/VLSI-SoC.2015.7314405 , urldate =
2015
-
[215]
and Solodov, Mikhail V
Izmailov, Alexey F. and Solodov, Mikhail V. , year = 2014, series =. Newton-. doi:10.1007/978-3-319-04247-3 , urldate =
2014 doi
- [216]
-
[217]
Automatica , volume =
Robust Control Barrier Functions for Constrained Stabilization of Nonlinear Systems , author =. Automatica , volume =. doi:10.1016/j.automatica.2018.07.004 , urldate =
2018 doi
-
[218]
doi:10.1109/CDC.2003.1272309 , abstract =
Some Controls Applications of Sum of Squares Programming , booktitle =. doi:10.1109/CDC.2003.1272309 , abstract =
2003 arXiv
- [219]
-
[220]
, year = 2019, month = dec, pages =
Jones, Morgan and Peet, Matthew M. , year = 2019, month = dec, pages =. Relaxing. 2019. doi:10.1109/CDC40024.2019.9029193 , urldate =
2019
-
[221]
, year = 2019, month = jan, journal =
Jones, Morgan and Peet, Matthew M. , year = 2019, month = jan, journal =. Using. doi:10.1016/j.ifacol.2019.12.008 , urldate =
2019 doi
-
[222]
and Schaub, Hanspeter , year = 2009, month = jan, publisher =
Junkins, John L. and Schaub, Hanspeter , year = 2009, month = jan, publisher =. Analytical. doi:10.2514/4.867231 , urldate =
2009 doi
-
[223]
Constrained Spacecraft Attitude Control on
Kalabi. Constrained Spacecraft Attitude Control on. 2014. doi:10.1109/ACC.2014.6858865 , urldate =
2014
-
[224]
Constrained
Kang, Zeyu and Shen, Qiang and Wu, Shufan , year = 2021, month = dec, journal =. Constrained. doi:10.1109/LCSYS.2020.3044984 , urldate =
2021
-
[225]
Regularization of Limited Memory Quasi-
Kanzow, Christian and Steck, Daniel , year = 2023, month = sep, journal =. Regularization of Limited Memory Quasi-. doi:10.1007/s12532-023-00238-4 , urldate =
2023 doi
-
[226]
IEEE Transactions on Automatic Control , volume =
Quadratically Constrained Attitude Control via Semidefinite Programming , author =. IEEE Transactions on Automatic Control , volume =. doi:10.1109/TAC.2004.825959 , urldate =
2004
-
[227]
and Lightsey, E
Kjellberg, Henri C. and Lightsey, E. Glenn , year = 2013, month = sep, journal =. Discretized. doi:10.2514/1.60189 , urldate =
2013 doi
-
[228]
Klischat, Moritz and Althoff, Matthias , year = 2020, month = sep, pages =. A. 2020. doi:10.1109/ITSC45102.2020.9294328 , urldate =
2020
-
[229]
Extensions of
Kochdumper, Niklas , langid =. Extensions of
-
[230]
Computing
Kochdumper, Niklas and Althoff, Matthias , year = 2020, month = dec, pages =. Computing. 2020 59th. doi:10.1109/CDC42340.2020.9304022 , urldate =
2020
-
[231]
Utilizing Dependencies to Obtain Subsets of Reachable Sets , booktitle =
Kochdumper, Niklas and Sch. Utilizing Dependencies to Obtain Subsets of Reachable Sets , booktitle =. doi:10.1145/3365365.3382192 , urldate =
-
[232]
Algorithms for
Kochenderfer, Mykel J and Wheeler, Tim A , pages =. Algorithms for
-
[233]
A Novel Constraint Tightening Approach for Nonlinear Robust Model Predictive Control , booktitle =
K. A Novel Constraint Tightening Approach for Nonlinear Robust Model Predictive Control , booktitle =. doi:10.23919/ACC.2018.8431892 , urldate =
2018
-
[234]
and Allgower, Frank , year = 2021, month = feb, journal =
Kohler, Johannes and Soloperto, Raffaele and Muller, Matthias A. and Allgower, Frank , year = 2021, month = feb, journal =. A. doi:10.1109/TAC.2020.2982585 , urldate =
2021
-
[235]
International Journal of Robust and Nonlinear Control , volume =
A Robust Adaptive Model Predictive Control Framework for Nonlinear Uncertain Systems , author =. International Journal of Robust and Nonlinear Control , volume =. doi:10.1002/rnc.5147 , urldate =
-
[236]
doi:10.48550/ARXIV.2207.10216 , urldate =
A Model Predictive Control Framework with Robust Stability Guarantees under Large Disturbances , author =. doi:10.48550/ARXIV.2207.10216 , urldate =
-
[237]
Reachability-Based
Kousik, Shreyas , year = 2020, urldate =. Reachability-Based
2020
-
[238]
Kurzhanski, A. B. and Varaiya, P. , year = 2000, month = oct, journal =. Ellipsoidal Techniques for Reachability Analysis: Internal Approximation , shorttitle =. doi:10.1016/S0167-6911(00)00059-1 , urldate =
2000 doi
-
[239]
Landry, Benoit and Chen, Mo and Hemley, Scott and Pavone, Marco , year = 2018, month = oct, pages =. Reach-. 2018. doi:10.1109/IROS.2018.8594078 , abstract =
2018
-
[240]
and Falconer, G.J
Lane, D.M. and Falconer, G.J. and Randall, G. and Edwards, I. , year = 2001, month = may, volume =. Interoperability and Synchronisation of Distributed Hardware-in-the-Loop Simulation for Underwater Robot Development: Issues and Experiments , shorttitle =. Proceedings 2001. do...
2001
-
[241]
Automatica , volume =
Robust Model Predictive Control Using Tubes , author =. Automatica , volume =. doi:10.1016/j.automatica.2003.08.009 , urldate =
2003 doi
-
[242]
, year = 2006, publisher =
La Valle, Steven M. , year = 2006, publisher =. Planning
2006
-
[243]
, year = 2009, month = jun, pages =
Lazar, M. , year = 2009, month = jun, pages =. Flexible Control. 2009. doi:10.1109/ACC.2009.5160426 , abstract =
2009
-
[244]
IEEE Trans
Feedback Control for Spacecraft Reorientation under Attitude Constraints via Convex Potentials , author =. IEEE Trans. Aerosp. Electron. Syst. , volume =. doi:10.1109/TAES.2014.120240 , urldate =
2014
-
[245]
Constrained
Lee, Unsik and Mesbahi, Mehran , year = 2017, month = feb, journal =. Constrained. doi:10.2514/1.G001879 , urldate =
2017 doi
-
[246]
Geometric
Lee, Dae Young and Gupta, Rohit and Kalabi. Geometric. Journal of Guidance, Control, and Dynamics , volume =. doi:10.2514/1.G001923 , urldate =
-
[247]
and Kohler, Johannes and Messerer, Florian and Lahr, Amon and Diehl, Moritz and Zeilinger, Melanie N
Leeman, Antoine P. and Kohler, Johannes and Messerer, Florian and Lahr, Amon and Diehl, Moritz and Zeilinger, Melanie N. , year = 2024, month = jan, journal =. Fast. doi:10.1016/j.ifacol.2024.09.027 , urldate =
2024 doi
-
[248]
Leeman, Antoine P. and K. Guaranteed. doi:10.48550/arXiv.2509.18760 , urldate =. arXiv , keywords =:2509.18760 , primaryclass =
-
[249]
Leeman, Antoine P. and K. Robust. IEEE Transactions on Automatic Control , volume =. doi:10.1109/TAC.2025.3552482 , urldate =
2025
-
[250]
Legat, Beno. Sum-of-. Nonlinear Analysis: Hybrid Systems , volume =. doi:10.1016/j.nahs.2020.100858 , urldate =
2020
-
[251]
Lentaris, George and Maragos, Konstantinos and Stratakos, Ioannis and Papadopoulos, Lazaros and Papanikolaou, Odysseas and Soudris, Dimitrios and Lourakis, Manolis and Zabulis, Xenophon and. High-. Journal of Aerospace Information Systems , volume =. doi:10.2514/1.I010555 , urldate =
-
[252]
Leung, Jordan and. A. 2021. doi:10.23919/ACC50511.2021.9482879 , urldate =
2021
- [253]
-
[254]
Lew, Thomas and Janson, Lucas and Bonalli, Riccardo and Pavone, Marco , year = 2022, month = may, pages =. A. Proceedings of
2022
-
[255]
An Augmented
Leyffer, Sven and Vanaret, Charlie , year = 2020, month = oct, journal =. An Augmented. doi:10.1007/s00186-020-00713-x , urldate =
2020 doi
-
[256]
Reachability
Li, Dongxu and Bak, Stanley and Bogomolov, Sergiy , editor =. Reachability. Formal. doi:10.1007/978-3-030-57628-8_16 , abstract =
-
[257]
Li, Boqian and Wen, Shiping and Yan, Zheng and Wen, Guanghui and Huang, Tingwen , year = 2023, month = mar, journal =. A. doi:10.1109/JAS.2023.123075 , urldate =
2023
-
[258]
Automatica , volume =
Time-Distributed Optimization for Real-Time Model Predictive Control:. Automatica , volume =. doi:10.1016/j.automatica.2020.108973 , urldate =
2020
-
[259]
Calculus of Variations and Optimal Control Theory: A Concise Introduction , shorttitle =
Liberzon, Daniel , year = 2012, publisher =. Calculus of Variations and Optimal Control Theory: A Concise Introduction , shorttitle =
2012
-
[260]
Sampling-
Liebenwein, Lucas and Baykal, Cenk and Gilitschenski, Igor and Karaman, Sertac and Rus, Daniela , year = 2018, month = jun, publisher =. Sampling-. Robotics:. doi:10.15607/RSS.2018.XIV.014 , urldate =
2018 doi
-
[261]
and Alamo, T
Limon, D. and Alamo, T. and Camacho, E.F. , year = 2003, pages =. Robust. 42nd. doi:10.1109/CDC.2003.1271725 , urldate =
2003 arXiv
-
[262]
and Alamo, T
Limon, D. and Alamo, T. and Raimondo, D. M. and. Input-to-. Nonlinear. doi:10.1007/978-3-642-01094-1_1 , urldate =
-
[263]
Reachable
Lin, Wang and Yang, Zhengfeng and Ding, Zuohua , year = 2022, month = jun, journal =. Reachable. doi:10.1007/s11424-022-1121-9 , urldate =
2022 doi
-
[264]
Astrodyn , volume =
Survey of Convex Optimization for Aerospace Applications , author =. Astrodyn , volume =. doi:10.1007/s42064-017-0003-8 , urldate =
-
[265]
Pre- and
Lofberg, Johan , year = 2009, month = may, journal =. Pre- and. doi:10.1109/TAC.2009.2017144 , urldate =
2009
-
[266]
Stochastic
Lorenzen, Matthias and Dabbene, Fabrizio and Tempo, Roberto and Allg. Stochastic. Automatica , volume =. doi:10.1016/j.automatica.2017.03.031 , urldate =
2017 doi
-
[269]
and Wise, Travis W
Lovelly, Tyler M. and Wise, Travis W. and Holtzman, Shaun H. and George, Alan D. , year = 2018, month = aug, journal =. Benchmarking. doi:10.2514/1.I010621 , urldate =
2018 doi
-
[270]
Lu, Ping , year = 2014, month = may, journal =. Entry. doi:10.2514/1.62605 , urldate =
2014 doi
-
[271]
Chinese Journal of Aeronautics , volume =
Survey of Orbital Dynamics and Control of Space Rendezvous , author =. Chinese Journal of Aeronautics , volume =. doi:10.1016/j.cja.2013.07.042 , urldate =
2013 doi
-
[272]
Automatica , volume =
On Reachability and Minimum Cost Optimal Control , author =. Automatica , volume =. doi:10.1016/j.automatica.2004.01.012 , urldate =
2004 doi
-
[273]
Feasibility
Ma, Haitong and Zhang, Xiangteng and Li, Shengbo Eben and Lin, Ziyu and Lyu, Yao and Zheng, Sifa , year = 2021, month = may, pages =. Feasibility. 2021 4th. doi:10.1109/ICPS49255.2021.9468220 , urldate =
2021
-
[274]
Introduction to
Macki, Jack and Strauss, Aaron , editor =. Introduction to. doi:10.1007/978-1-4612-5671-7 , urldate =
-
[275]
International Journal of Robust and Nonlinear Control , volume =
Robust Model Predictive Control for Nonlinear Discrete-Time Systems , author =. International Journal of Robust and Nonlinear Control , volume =. doi:10.1002/rnc.815 , urldate =
-
[276]
Annual Reviews in Control , volume =
Stabilizing Model Predictive Control of Nonlinear Continuous Time Systems , author =. Annual Reviews in Control , volume =. doi:10.1016/j.arcontrol.2004.01.001 , urldate =
2004 doi
-
[277]
doi:10.3139/9783446470521 , urldate =
Maiwald, Volker and Quantius, Dominik and Rievers, Benny , year = 2021, month = oct, edition =. doi:10.3139/9783446470521 , urldate =
2021 doi
-
[278]
Robust Online Motion Planning with Reachable Sets , author =
-
[279]
Control and Verification of High-Dimensional Systems with
Majumdar, Anirudha and Ahmadi, Amir Ali and Tedrake, Russ , year = 2014, month = dec, pages =. Control and Verification of High-Dimensional Systems with. 53rd. doi:10.1109/CDC.2014.7039413 , abstract =
2014
-
[280]
The International Journal of Robotics Research , volume =
Funnel Libraries for Real-Time Robust Feedback Motion Planning , author =. The International Journal of Robotics Research , volume =. doi:10.1177/0278364917712421 , urldate =
-
[281]
Computing
Maler, Oded , abstract =. Computing
-
[282]
Annual Reviews in Control , volume =
Advances in Trajectory Optimization for Space Vehicle Control , author =. Annual Reviews in Control , volume =. doi:10.1016/j.arcontrol.2021.04.013 , urldate =
2021 doi
-
[283]
and Szmuk, Michael and Lew, Thomas and Bonalli, Riccardo and Pavone, Marco and A
Malyuta, Danylo and Reynolds, Taylor P. and Szmuk, Michael and Lew, Thomas and Bonalli, Riccardo and Pavone, Marco and A. Convex. IEEE Control Systems Magazine , volume =. doi:10.1109/MCS.2022.3187542 , abstract =
2022
-
[284]
Mammarella, Martina and Capello, Elisa and Guglieri, Giorgio , publisher =. Robust. 2018. doi:10.2514/6.2018-5343 , urldate =
2018 doi
-
[285]
Aerospace Science and Technology , volume =
Tube-Based Robust Model Predictive Control for Spacecraft Proximity Operations in the Presence of Persistent Disturbance , author =. Aerospace Science and Technology , volume =. doi:10.1016/j.ast.2018.04.009 , urldate =
2018 doi
-
[286]
Attitude
Mammarella, Martina and Lee, Dae Young and Park, Hyeongjun and Capello, Elisa and Dentis, Matteo and Guglieri, Giorgio , year = 2019, journal =. Attitude. doi:10.2514/1.A34394 , urldate =
2019 doi
-
[288]
and Ankersen, Finn and Sasaki, Takahiro and Ancona, Elena and DiMatteo, Jeremiah and Spiegel, Isaac A
Mammarella, Martina and D'Amico, Simone and Pavone, Marco and Linares, Richard and Acheson, Michael J. and Ankersen, Finn and Sasaki, Takahiro and Ancona, Elena and DiMatteo, Jeremiah and Spiegel, Isaac A. and Paganelli Azza, Federica and Varile, Mattia , year = 2025, month = ...
2025
-
[289]
Controls for
Mammarella, Martina and D'Amico, Simone and Pavone, Marco and Linares, Richard and Acheson, Michael J and Ankersen, Finn and Sasaki, Takahiro and Ancona, Elena and Matteo, Jeremiah Di and Spiegel, Isaac and Azza, Federica Paganelli and Varile, Mattia , abstract =. Controls for
-
[290]
Convexification and
Mao, Yuanqi and Dueri, Daniel and Szmuk, Michael and A. Convexification and. Handbook of. doi:10.1007/978-3-319-77489-3_15 , urldate =
-
[291]
Landis and Crassidis, John L
Markley, F. Landis and Crassidis, John L. , year = 2014, publisher =. Fundamentals of. doi:10.1007/978-1-4939-0802-8 , urldate =
2014 doi
-
[292]
Astrone --
Martin, Maurice and Belien, Frederik and Liu, Bangshang and Olucak, Jan and Schimpf, Fabian and Br. Astrone --
-
[293]
Pioneering the
Martin, Maurice and Caroselli, Edoardo and Liu, Bangshang and Suwinski, Patrick and Chernykh, Valerij and Janschek, Klaus and Olucak, Jan and Schimpf, Fabian , year = 2023, month = jul, publisher =. Pioneering the. Papers of. doi:10.5270/esa-gnc-icatt-2023-172 , urldate =
2023 doi
-
[294]
Maurer, Richard H and Fraeman, Martin E and Martin, Mark N and Roth, David R , year = 2008, journal =. Harsh
2008
-
[295]
Mayne, D. Q. and Rawlings, J. B. and Rao, C. V. and Scokaert, P. O. M. , year = 2000, month = jun, journal =. Constrained Model Predictive Control:. doi:10.1016/S0005-1098(99)00214-9 , urldate =
2000 doi
-
[296]
Automatica , volume =
Robust Model Predictive Control of Constrained Linear Systems with Bounded Disturbances , author =. Automatica , volume =. doi:10.1016/j.automatica.2004.08.019 , urldate =
2004 doi
-
[297]
and Kerrigan, Eric C
Mayne, David Q. and Kerrigan, Eric C. and Falugi, Paola , year = 2011, month = jan, journal =. Robust Model Predictive Control: Advantages and Disadvantages of Tube-Based Methods , shorttitle =. doi:10.3182/20110828-6-IT-1002.01893 , urldate =
2011
-
[298]
International Journal of Robust and Nonlinear Control , volume =
Tube-Based Robust Nonlinear Model Predictive Control , author =. International Journal of Robust and Nonlinear Control , volume =. doi:10.1002/rnc.1758 , urldate =
-
[299]
Journal of Guidance, Control, and Dynamics , volume =
Large Angle Slew Maneuvers with Autonomous Sun Vector Avoidance , author =. Journal of Guidance, Control, and Dynamics , volume =. doi:10.2514/3.21283 , urldate =
-
[300]
Meinert, Alexander and Baldauf, Niklas and Turnwald, Alen , year = 2024, month = oct, pages =. Robust. 2024 28th. doi:10.1109/ICSTCC62912.2024.10744677 , urldate =
2024
Reviewed July 31, 2026 · model on record in the stance chip above.
Discussion (0). Continue with ORCID to comment.