Paper Citation Record · LEDGER

Suboptimal and Reduced-Order MPC via Timescale Separation

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2606.24641.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.24641 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T10:28:06.055068Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:27:04.165212Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact0
verified fuzzy0
unresolved42
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 23df1e5b-c3dc-4d64-92bd-bc38fb1599e6 · outbound

This paper cites Model predictive control design: New trends and tools.

Suboptimal and Reduced-Order MPC via Timescale Separation Model predictive control design: New trends and tools

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:02.972954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 211f366c-2adc-44a4-ab4b-045cb1c7516a · outbound

This paper cites Model predictive control.Switzerland: Springer International Publishing, 38(13-56):7, 2016.

Suboptimal and Reduced-Order MPC via Timescale Separation Model predictive control.Switzerland: Springer International Publishing, 38(13-56):7, 2016

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.062779Z

Source-reported events for the cited work

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Observation 94fcd144-1a22-4d90-97dc-7726526edf68 · outbound

This paper cites Nob Hill Publishing Madison, WI, 2020.

Suboptimal and Reduced-Order MPC via Timescale Separation Nob Hill Publishing Madison, WI, 2020

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.114757Z

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Observation a75a9f16-6819-45b3-a02a-bbd88071a728 · outbound

This paper cites Review on model predictive control: An engineering perspective.The International Journal of Advanced Manufacturing Technology, 117(5):1327–1349, 2021.

Suboptimal and Reduced-Order MPC via Timescale Separation Review on model predictive control: An engineering perspective.The International Journal of Advanced Manufacturing Technology, 117(5):1327–1349, 2021

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.156865Z

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Observation 41efee67-fbaa-455c-b118-a19fc7414afb · outbound

This paper cites Multi-rate control design leveraging control barrier functions and model predictive control policies.

Suboptimal and Reduced-Order MPC via Timescale Separation Multi-rate control design leveraging control barrier functions and model predictive control policies

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.251960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d63d63a1-e56f-4e40-8881-69c2783d4792 · outbound

This paper cites Multi-rate planning and control of uncertain nonlinear systems: Model predictive control and control Lyapunov functions.

Suboptimal and Reduced-Order MPC via Timescale Separation Multi-rate planning and control of uncertain nonlinear systems: Model predictive control and control Lyapunov functions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.297457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c41f7c3-c2a8-42da-a91c-9162d70eb484 · outbound

This paper cites Unified multirate control: From low-level actuation to high-level planning.

Suboptimal and Reduced-Order MPC via Timescale Separation Unified multirate control: From low-level actuation to high-level planning

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.337365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4aad41a-76a6-4a9a-bfdf-7c631b333a1a · outbound

This paper cites An MPC approach to the design of two-layer hierarchical control systems.Automatica, 46(5):823–831, 2010.

Suboptimal and Reduced-Order MPC via Timescale Separation An MPC approach to the design of two-layer hierarchical control systems.Automatica, 46(5):823–831, 2010

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.379546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a12f31ec-4b3c-4067-b3ea-2dd968854a71 · outbound

This paper cites A dual-level model predictive control scheme for multitimescale dynamical systems.IEEE Transactions on Systems, Man, and Cybernetics: Systems, 53(3):1630–1643, 2022.

Suboptimal and Reduced-Order MPC via Timescale Separation A dual-level model predictive control scheme for multitimescale dynamical systems.IEEE Transactions on Systems, Man, and Cybernetics: Systems, 53(3):1630–1643, 2022

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.392433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8d7f5e3-d8d9-4a87-bb6b-5e9b3db6dbaf · outbound

This paper cites Model predictive control of nonlinear singularly perturbed systems: Application to a large-scale process network.Journal of Process Control, 21(9):1296–1305, 2011.

Suboptimal and Reduced-Order MPC via Timescale Separation Model predictive control of nonlinear singularly perturbed systems: Application to a large-scale process network.Journal of Process Control, 21(9):1296–1305, 2011

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.431620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05b2a8c5-1a61-42e5-9b71-157e2c1d21de · outbound

This paper cites Towards a Theory of Control Architecture: A quantitative framework for layered multi-rate control.

Suboptimal and Reduced-Order MPC via Timescale Separation Towards a Theory of Control Architecture: A quantitative framework for layered multi-rate control

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.469718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 225d7389-30a4-4381-b08b-a62069ce51b2 · outbound

This paper cites Model predictive control using reduced order models: Guaranteed stability for constrained linear systems.Journal of Process Control, 24(11):1647–1659, 2014.

Suboptimal and Reduced-Order MPC via Timescale Separation Model predictive control using reduced order models: Guaranteed stability for constrained linear systems.Journal of Process Control, 24(11):1647–1659, 2014

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.509956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 409361f3-8862-40a7-8457-b2b157dcf228 · outbound

This paper cites Reduced order model predictive control for setpoint tracking.

Suboptimal and Reduced-Order MPC via Timescale Separation Reduced order model predictive control for setpoint tracking

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.574390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f615bf1-09ef-4efa-af71-1e7059070c06 · outbound

This paper cites Error bounds for reduced order model predictive control.

Suboptimal and Reduced-Order MPC via Timescale Separation Error bounds for reduced order model predictive control

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.634962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b44e7983-d8fd-4d61-86af-a6e45319ab0a · outbound

This paper cites Certified Model Predictive Control for Switched Evolution Equations using Model Order Reduction.

Suboptimal and Reduced-Order MPC via Timescale Separation Certified Model Predictive Control for Switched Evolution Equations using Model Order Reduction

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.744795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6380b18-d58b-44e3-aa55-51e6a5ecf5f8 · outbound

This paper cites Tube-based robust MPC for two-timescale systems using reduced-order models.IEEE Control Systems Letters, 7:799–804, 2022.

Suboptimal and Reduced-Order MPC via Timescale Separation Tube-based robust MPC for two-timescale systems using reduced-order models.IEEE Control Systems Letters, 7:799–804, 2022

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.823588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdb5109d-20cb-47c5-8899-268438e99035 · outbound

This paper cites Data-driven spectral submanifold reduction for nonlinear optimal control of high-dimensional robots.

Suboptimal and Reduced-Order MPC via Timescale Separation Data-driven spectral submanifold reduction for nonlinear optimal control of high-dimensional robots

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.887769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdc4620a-03b3-4a0d-8ac4-5f58ee8eec70 · outbound

This paper cites Model predictive control with non-uniformly spaced optimization horizon for multi-timescale processes.Computers & Chemical Engineering, 84:162–170, 2016.

Suboptimal and Reduced-Order MPC via Timescale Separation Model predictive control with non-uniformly spaced optimization horizon for multi-timescale processes.Computers & Chemical Engineering, 84:162–170, 2016

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:03.970348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8d898b8-b99f-437a-b3cb-d6bd40182b47 · outbound

This paper cites Multi-Timescale Model Predictive Control for Slow-Fast Systems.

Suboptimal and Reduced-Order MPC via Timescale Separation Multi-Timescale Model Predictive Control for Slow-Fast Systems

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.033830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70cdf8f4-d7c1-4c18-b122-dc80db77086c · outbound

This paper cites A real-time iteration scheme for nonlinear optimization in optimal feedback control.SIAM Journal on control and optimization, 43(5):1714–1736, 2005.

Suboptimal and Reduced-Order MPC via Timescale Separation A real-time iteration scheme for nonlinear optimization in optimal feedback control.SIAM Journal on control and optimization, 43(5):1714–1736, 2005

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.084294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a9e641f-3232-4532-89f5-4bd14aa4da28 · outbound

This paper cites From linear to nonlinear MPC: bridging the gap via the real-time iteration.International Journal of Control, 93(1):62–80, 2020.

Suboptimal and Reduced-Order MPC via Timescale Separation From linear to nonlinear MPC: bridging the gap via the real-time iteration.International Journal of Control, 93(1):62–80, 2020

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.180701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c6313e3-4134-4d86-9617-c8b628daba5c · outbound

This paper cites Suboptimal model predictive control (feasibility implies stability).

Suboptimal and Reduced-Order MPC via Timescale Separation Suboptimal model predictive control (feasibility implies stability)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.367268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2282f944-fe41-4a59-8da7-2517b692090d · outbound

This paper cites Stability and incremental improvement of suboptimal MPC without terminal constraints.IEEE Transactions on Automatic Control, 55(11):2576–2580, 2010.

Suboptimal and Reduced-Order MPC via Timescale Separation Stability and incremental improvement of suboptimal MPC without terminal constraints.IEEE Transactions on Automatic Control, 55(11):2576–2580, 2010

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.436173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e02c3225-94f7-4289-89bc-a22b4bc080f5 · outbound

This paper cites Stabilizing linear model predictive control under inexact numerical optimization.IEEE Trans.

Suboptimal and Reduced-Order MPC via Timescale Separation Stabilizing linear model predictive control under inexact numerical optimization.IEEE Trans

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.488664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df8bcea1-fcee-4e41-adca-d5c9dad3fb79 · outbound

This paper cites A Lyapunov function for the combined system-optimizer dynamics in inexact model predictive control.Automatica, 134:109901, 2021.

Suboptimal and Reduced-Order MPC via Timescale Separation A Lyapunov function for the combined system-optimizer dynamics in inexact model predictive control.Automatica, 134:109901, 2021

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.525376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e8d5cd1-7577-4e56-9ca9-8b2a47a28475 · outbound

This paper cites On the finite-time behavior of suboptimal linear model predictive control.

Suboptimal and Reduced-Order MPC via Timescale Separation On the finite-time behavior of suboptimal linear model predictive control

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.566702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f50185cd-ac4b-4624-8448-a7e4cf7ef5de · outbound

This paper cites Closed-loop finite-time analysis of suboptimal online control.

Suboptimal and Reduced-Order MPC via Timescale Separation Closed-loop finite-time analysis of suboptimal online control

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.605472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c63ca276-0e13-4ca9-8c16-ffcc47b78636 · outbound

This paper cites Sampled-data Systems: Stability, Contractivity and Single-iteration Suboptimal MPC.

Suboptimal and Reduced-Order MPC via Timescale Separation Sampled-data Systems: Stability, Contractivity and Single-iteration Suboptimal MPC

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.653715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c42562a2-ea8f-4ffd-9247-fd192505091f · outbound

This paper cites Optimization-based control by interconnection of nonlinear port-hamiltonian systems.arXiv preprint arXiv:2602.06670, 2026.

Suboptimal and Reduced-Order MPC via Timescale Separation Optimization-based control by interconnection of nonlinear port-hamiltonian systems.arXiv preprint arXiv:2602.06670, 2026

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.747977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6befecc0-4ac8-4b55-8ab0-4d659fa0cbbd · outbound

This paper cites Coupling optimization algorithms and monotone control systems: Suboptimal model predictive control as an operator splitting scheme.

Suboptimal and Reduced-Order MPC via Timescale Separation Coupling optimization algorithms and monotone control systems: Suboptimal model predictive control as an operator splitting scheme

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.800403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 978c1c40-b7bd-4e51-a90d-62fc6ac8cb69 · outbound

This paper cites Multi-time scale control and optimization via averaging and singular perturbation theory: From ODEs to hybrid dynamical systems.Annual Reviews in Control, 56:100926, 2023.

Suboptimal and Reduced-Order MPC via Timescale Separation Multi-time scale control and optimization via averaging and singular perturbation theory: From ODEs to hybrid dynamical systems.Annual Reviews in Control, 56:100926, 2023

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.863643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b851f63-87d0-40c3-98ac-d4723b341746 · outbound

This paper cites Online optimization as a feedback controller: Stability and tracking.IEEE Transactions on Control of Network Systems, 7(1):422–432, 2019.

Suboptimal and Reduced-Order MPC via Timescale Separation Online optimization as a feedback controller: Stability and tracking.IEEE Transactions on Control of Network Systems, 7(1):422–432, 2019

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:04.934768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2b74701-0aa1-40b0-8820-6a23dec210e2 · outbound

This paper cites Timescale separation in autonomous optimization.IEEE Transactions on Automatic Control, 66(2):611–624, 2020.

Suboptimal and Reduced-Order MPC via Timescale Separation Timescale separation in autonomous optimization.IEEE Transactions on Automatic Control, 66(2):611–624, 2020

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.074760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cccd1806-6fa7-43de-81ae-1c9f2a8c52b2 · outbound

This paper cites Online feedback equilibrium seeking.IEEE Transactions on Automatic Control, 70(1):203–218, 2024.

Suboptimal and Reduced-Order MPC via Timescale Separation Online feedback equilibrium seeking.IEEE Transactions on Automatic Control, 70(1):203–218, 2024

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.165509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a4bc747-3b35-4b5f-95b0-e4a61445ec0c · outbound

This paper cites Nonconvex distributed feedback optimization for aggregative cooperative robotics.Automatica, 167:111767, 2024.

Suboptimal and Reduced-Order MPC via Timescale Separation Nonconvex distributed feedback optimization for aggregative cooperative robotics.Automatica, 167:111767, 2024

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.248556Z

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Unavailable: canonical work link unavailable.

Observation bbb88840-bf6c-4196-91a3-0e4733fa0699 · outbound

This paper cites Nonlinear MPC for Feedback-Interconnected Systems: a Suboptimal and Reduced-Order Model Approach.arXiv preprint arXiv:2511.19336, 2025.

Suboptimal and Reduced-Order MPC via Timescale Separation Nonlinear MPC for Feedback-Interconnected Systems: a Suboptimal and Reduced-Order Model Approach.arXiv preprint arXiv:2511.19336, 2025

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.301110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78bc7db8-098b-4697-8149-9079317edf5a · outbound

This paper cites Hybrid control of the pendubot.IEEE/ASME transactions on mechatronics, 7(1):79–86, 2002.

Suboptimal and Reduced-Order MPC via Timescale Separation Hybrid control of the pendubot.IEEE/ASME transactions on mechatronics, 7(1):79–86, 2002

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.427402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b43c039-d174-424a-9d50-2e8ccce510ff · outbound

This paper cites Princeton University Press, 2008.

Suboptimal and Reduced-Order MPC via Timescale Separation Princeton University Press, 2008

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.587422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df9b2ec8-35b6-4bf2-9987-6a35454c1c83 · outbound

This paper cites Mujoco: A physics engine for model-based control.

Suboptimal and Reduced-Order MPC via Timescale Separation Mujoco: A physics engine for model-based control

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.727674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec04ce5c-d456-457d-a1f6-d4604e0fbd50 · outbound

This paper cites CasADi: a software framework for nonlinear optimization and optimal control.Mathematical Programming Computation, 11(1):1–36, 2019.

Suboptimal and Reduced-Order MPC via Timescale Separation CasADi: a software framework for nonlinear optimization and optimal control.Mathematical Programming Computation, 11(1):1–36, 2019

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.874762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24fdab37-df45-447b-bf0e-da930f613cf6 · outbound

This paper cites Tracking-based distributed equilibrium seeking for aggregative games.IEEE Transactions on Automatic Control, 69(9):6026–6041, 2024.

Suboptimal and Reduced-Order MPC via Timescale Separation Tracking-based distributed equilibrium seeking for aggregative games.IEEE Transactions on Automatic Control, 69(9):6026–6041, 2024

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:05.961383Z

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Unavailable: canonical work link unavailable.

Observation 493f9eed-b5ee-4b30-b049-2442d6332a89 · outbound

This paper cites Elsevier, 1997.

Suboptimal and Reduced-Order MPC via Timescale Separation Elsevier, 1997

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-02T10:28:06.055068Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation d715924c-979f-4f06-8c3c-2adab01ee1b9 · inbound

Timescale Separation Through the Lens of Operator Theory cites this paper.

Timescale Separation Through the Lens of Operator Theory Suboptimal and Reduced-Order MPC via Timescale Separation

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T07:27:04.165212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.