Paper Citation Record · LEDGER

Certainty-equivalent adaptive MPC for uncertain nonlinear systems

As of 22 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 2 inbound Pith citation observations for arXiv:2603.17843.

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

pith.paper-citation-record.v1
2603.17843 v2

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T18:03:51.664748Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:05:57.693859Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T17:36:06.332924Z

Reference resolution

64 of 64 outbound references displayed

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External citation measurements

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Outbound references

Observation a331ef8f-7f63-4b6a-852f-70573ffb3102 · outbound

This paper cites Challenges of adaptive control–past, permanent and future.Annual reviews in control, 32(2):123–135, 2008.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Challenges of adaptive control–past, permanent and future.Annual reviews in control, 32(2):123–135, 2008

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:46.066672Z

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Observation 72e63815-75fc-4c0f-a2da-fd667fe7319c · outbound

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

Certainty-equivalent adaptive MPC for uncertain nonlinear systems CasADi: A software framework for nonlinear optimization and optimal control.Mathematical Programming Computation, 11(1):1–36, 2019

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:46.121689Z

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Observation 99b2210d-d2af-4c78-978a-842d98ed93e3 · outbound

This paper cites Adaptive control in the presence of saturation non-linearity.Int.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive control in the presence of saturation non-linearity.Int

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Observation 7a8721c4-caab-4bc7-805b-c66214d8d84b · outbound

This paper cites A historical perspective of adaptive control and learning.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems A historical perspective of adaptive control and learning

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Observation 26d0c3e3-2c57-4111-8031-a8761d00eb51 · outbound

This paper cites Immersion and invariance: A new tool for stabilization and adaptive control of nonlinear systems.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Immersion and invariance: A new tool for stabilization and adaptive control of nonlinear systems.IEEE Trans

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Observation 95b12ab1-c32f-4a76-8f48-2c05b121d244 · outbound

This paper cites Linear tracking mpc for nonlinear systems—part i: The model-based case.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Linear tracking mpc for nonlinear systems—part i: The model-based case.IEEE Trans

Reference 6

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Observation 0fb1dd8b-e0b1-4352-989c-65c71c32780c · outbound

This paper cites Athena Scientific, 2022.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Athena Scientific, 2022

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:46.388716Z

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Observation 2d2ea506-1993-4203-aeb1-65ec513c5f22 · outbound

This paper cites Adaptive optimal control: The thinking man ’s GPC.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive optimal control: The thinking man ’s GPC

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Observation d322fe85-43b8-45ee-9a73-c02b61220edb · outbound

This paper cites Nonlinear MPC design for incrementally ISS systems with application to gru networks.Automatica, 159:111381, 2024.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Nonlinear MPC design for incrementally ISS systems with application to gru networks.Automatica, 159:111381, 2024

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Observation dd8965e5-23a9-45fb-929c-27f94bf42084 · outbound

This paper cites Indirect adaptive state feedback control of linearly parametrized non-linear systems.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Indirect adaptive state feedback control of linearly parametrized non-linear systems

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Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:46.579829Z

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Observation ba3f8d02-a2ab-4beb-834d-ee74cac031f9 · outbound

This paper cites Adaptive tracking with saturating input and controller integral action.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive tracking with saturating input and controller integral action.IEEE Trans

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Observation b1e7d68e-a580-4c1b-bd86-4f2c29c51d45 · outbound

This paper cites Adaptive control of input-constrained type-1 plants stabilization and tracking.Automatica, 37(2):197–203, 2001.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive control of input-constrained type-1 plants stabilization and tracking.Automatica, 37(2):197–203, 2001

Reference 12

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Observation 26d4866d-4417-42ef-8445-c63d1f1d44ec · outbound

This paper cites A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability

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Observation 2e99f781-36c9-4e2f-8664-947656b59e95 · outbound

This paper cites Adaptive economic model predictive control: Performance guarantees for nonlinear systems.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive economic model predictive control: Performance guarantees for nonlinear systems.IEEE Trans

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Observation 9ef1e55d-e81f-496e-9223-840087d419e8 · outbound

This paper cites A robust and adaptive MPC formulation for Gaussian process models.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems A robust and adaptive MPC formulation for Gaussian process models

Reference 15

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Observation a7c47629-6f23-4270-8a93-d238f8669c6a · outbound

This paper cites Robust discrete- time set-based adaptive predictive control for nonlinear systems.J.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Robust discrete- time set-based adaptive predictive control for nonlinear systems.J

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Observation 6f12198a-9a77-4190-90f9-95f809d7fa66 · outbound

This paper cites Courier Corporation, 2014.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Courier Corporation, 2014

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.056707Z

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Observation 32361f38-aaaf-42e7-ac3c-0ed5aea9dc3f · outbound

This paper cites Springer, 2017.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Springer, 2017

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.119724Z

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Observation 0c83bcd8-9f84-4f4f-a297-5819a1d25d25 · outbound

This paper cites On approximate solutions of systems of linear inequalities.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems On approximate solutions of systems of linear inequalities

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Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.162526Z

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Observation f36f6699-9b60-4699-8cd4-002b1ba329a1 · outbound

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

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Closed-loop finite-time analysis of suboptimal online control.IEEE Trans

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Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.207275Z

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Observation c5c3a2fe-85c0-464e-81f0-3dd27a7db0a3 · outbound

This paper cites Prentice-Hall, Inc., Englewood Cliffs, N.J., 1996.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Prentice-Hall, Inc., Englewood Cliffs, N.J., 1996

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Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.262659Z

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Observation c4167740-02bc-4ecb-a15a-33809fc56382 · outbound

This paper cites PhD thesis, Universit¨ at Stuttgart, 2021.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems PhD thesis, Universit¨ at Stuttgart, 2021

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Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.315604Z

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Observation 87f67a1b-9b65-46a6-a628-76ecfd61426d · outbound

This paper cites Stability and performance in MPC using a finite-tail cost.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Stability and performance in MPC using a finite-tail cost

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Observation bf041942-0ad2-4de7-9ab0-fc0b657e2490 · outbound

This paper cites A robust adaptive model predictive control framework for nonlinear uncertain systems.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems A robust adaptive model predictive control framework for nonlinear uncertain systems

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Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.442493Z

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Observation 8a16bd9d-020a-416a-aa76-23aeafea170a · outbound

This paper cites Stability and performance analysis of NMPC: Detectable stage costs and general terminal costs.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Stability and performance analysis of NMPC: Detectable stage costs and general terminal costs.IEEE Trans

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Observation d2643516-e51c-4d45-b732-320d3ac0e84e · outbound

This paper cites Adaptive nonlinear control without overparametrization.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive nonlinear control without overparametrization

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Observation 9bc61348-a5ba-4840-a007-c6d8f0a2dc94 · outbound

This paper cites Control lyapunov functions for adaptive nonlinear stabilization.Systems & Control Letters, 26(1):17–23, 1995.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Control lyapunov functions for adaptive nonlinear stabilization.Systems & Control Letters, 26(1):17–23, 1995

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Observation ebf7796a-fa2c-459c-af28-93f974cee0a9 · outbound

This paper cites Model predictive control for tracking using artificial references: Fundamentals, recent results and practical implementation.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Model predictive control for tracking using artificial references: Fundamentals, recent results and practical implementation

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Observation 7ebe50bf-cd0f-43fb-a6bb-b57f6bce831e · outbound

This paper cites Nonlinear MPC for tracking piece-wise constant reference signals.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Nonlinear MPC for tracking piece-wise constant reference signals.IEEE Trans

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Observation 451ea3b3-279b-4346-b92b-ba711355664e · outbound

This paper cites Barrier Lyapunov functions-based adaptive control for a class of nonlinear pure- feedback systems with full state constraints.Automatica, 64:70–75, 2016.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Barrier Lyapunov functions-based adaptive control for a class of nonlinear pure- feedback systems with full state constraints.Automatica, 64:70–75, 2016

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Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:47.744939Z

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Observation a0d32e26-7eb9-42ea-a9a1-e33f619c7fe5 · outbound

This paper cites Universal adaptive control of nonlinear systems.IEEE Control Systems Letters, 6:1826–1830, 2021.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Universal adaptive control of nonlinear systems.IEEE Control Systems Letters, 6:1826–1830, 2021

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Observation aa6a0a62-c232-4812-894e-6b3f6d70d20a · outbound

This paper cites Adaptive variants of optimal feedback policies.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive variants of optimal feedback policies

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Observation cef85d9a-6230-4cd8-b612-3191273b805a · outbound

This paper cites PhD thesis, Massachusetts Institute of Technology, 2019.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems PhD thesis, Massachusetts Institute of Technology, 2019

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Observation ed353fba-cee8-44f5-91f4-8ee6e0043a73 · outbound

This paper cites Robust MPC with recursive model update.Automatica, 103:461–471, 2019.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Robust MPC with recursive model update.Automatica, 103:461–471, 2019

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Observation 33679c72-aa90-4d39-a5b5-9f24994fbbc4 · outbound

This paper cites A stabilizing model-based predictive control algorithm for nonlinear systems.Automatica, 37(9):1351–1362, 2001.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems A stabilizing model-based predictive control algorithm for nonlinear systems.Automatica, 37(9):1351–1362, 2001

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Observation 4461e6b3-8192-4452-be55-2737e54f4c22 · outbound

This paper cites Robust learning-based MPC for nonlinear constrained systems.Automatica, 117:108948, 2020.

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This paper cites Model predictive control: Recent developments and future promise.Automatica, 50(12):2967– 2986, 2014.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Model predictive control: Recent developments and future promise.Automatica, 50(12):2967– 2986, 2014

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Observation a7657ae9-b463-4903-b797-b88acf4692e6 · outbound

This paper cites Design issues in adaptive control.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Design issues in adaptive control.IEEE Trans

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Observation 212ef731-5cb5-48d5-a721-6bb536967fa2 · outbound

This paper cites Nonlinear offset-free model predictive control.Automatica, 48(9):2059–2067, 2012.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Nonlinear offset-free model predictive control.Automatica, 48(9):2059–2067, 2012

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Observation 66d17278-b185-4c70-8866-285ab6f312df · outbound

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Certainty-equivalent adaptive MPC for uncertain nonlinear systems Online convex optimization for constrained control of nonlinear systems.Automatica, 2026

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Observation cef9beda-0c3c-4671-8469-6965d9c7a2a1 · outbound

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Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive nonlinear regulation: Estimation from the Lyapunov equation.IEEE Trans

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This paper cites Model Predictive Control: Theory, Computation, and Design.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Model Predictive Control: Theory, Computation, and Design

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Observation 30d2caa8-8f8c-4c07-95ff-4bcf1038994f · outbound

This paper cites Multivariable adaptive control: A survey.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Multivariable adaptive control: A survey

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:50.844983Z

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Observation ce761f9f-8ed8-4950-9dae-69645fea17a6 · outbound

This paper cites Robust adaptive MPC using uncertainty compensation.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Robust adaptive MPC using uncertainty compensation

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:51.007468Z

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Observation c17acd85-fbac-4374-95ea-d6f36fbdcdd1 · outbound

This paper cites Adaptive safety with control barrier functions.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive safety with control barrier functions

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:51.134988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd3b0a1e-4ccb-4623-a5e1-679fe587b8f9 · outbound

This paper cites Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:51.179958Z

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Observation e59442e4-cc95-4806-8be5-493e8222d75b · outbound

This paper cites Adaptive predictive control of the benchmark plant.Automatica, 30(4):621–628, 1994.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Adaptive predictive control of the benchmark plant.Automatica, 30(4):621–628, 1994

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:51.294741Z

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Unavailable: canonical work link unavailable.

Observation 6ef4d1a1-69e6-4a61-82b2-e75a4a8d4a17 · outbound

This paper cites Soft constrained model predictive control with robust stability guarantees.IEEE Trans.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Soft constrained model predictive control with robust stability guarantees.IEEE Trans

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:51.384744Z

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Observation c4635096-25cf-463b-b98a-93a8f5611ebf · outbound

This paper cites Globally stable adaptive system design for minimum phase SISO plants with input saturation.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Globally stable adaptive system design for minimum phase SISO plants with input saturation

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:51.435467Z

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Observation fd0438d0-04e2-4a89-a7f4-c848ea0baf7b · outbound

This paper cites Equation (B.1b) holds by choosing ˜ℓ0 = ˜ℓ⋆ 0 − δ Cℓ PM−1 k=1 ρk−M = ˜ℓ⋆ 0 − δ CℓρM−1 1−ρM−1 1−ρ.

Certainty-equivalent adaptive MPC for uncertain nonlinear systems Equation (B.1b) holds by choosing ˜ℓ0 = ˜ℓ⋆ 0 − δ Cℓ PM−1 k=1 ρk−M = ˜ℓ⋆ 0 − δ CℓρM−1 1−ρM−1 1−ρ

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-02T18:03:51.664748Z

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Pith citing papers

Observation 7f027589-c8d2-4437-bcf7-8aa86c1d19b9 · inbound

Adaptive MPC for Constrained Trajectory Tracking of Uncertain LTI System with Input-Rate Limits cites this paper.

Adaptive MPC for Constrained Trajectory Tracking of Uncertain LTI System with Input-Rate Limits Certainty-equivalent adaptive MPC for uncertain nonlinear systems

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-28T02:21:38.818872Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c442f4c2-35ab-46f2-8c78-6f489175fff5 · inbound

Non-asymptotic Bounds of Learning-based Linear MPC With Input Constraints and Unbounded Stochastic Noise cites this paper.

Non-asymptotic Bounds of Learning-based Linear MPC With Input Constraints and Unbounded Stochastic Noise Certainty-equivalent adaptive MPC for uncertain nonlinear systems

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T05:05:57.693859Z

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Unavailable: canonical work link unavailable.