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Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations

  • Published:2020-06 Issue:12 Volume:268 Page:7311-7341
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Grüne Lars,Schaller Manuel,Schiela Anton

Funder

German Research Foundation

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference37 articles.

1. Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control;Grüne;SIAM J. Control Optim.,2019

2. Observation and Control for Operator Semigroups;Tucsnak,2009

3. Well-Posed Linear Systems, vol. 103;Staffans,2005

4. Nonlinear Model Predictive Control: Theory and Algorithms;Grüne,2016

5. Approximation properties of receding horizon optimal control;Grüne;Jahresber. Dtsch. Math.-Ver.,2016

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1. Uniform Turnpike Property and Singular Limits;Acta Applicandae Mathematicae;2024-03-07

2. Two-term large-time asymptotic expansion of the value function for dissipative nonlinear optimal control problems;Mathematical Control and Related Fields;2024

3. Output model predictive control for a wave equation;2023 American Control Conference (ACC);2023-05-31

4. Near-Optimal Distributed Linear-Quadratic Regulator for Networked Systems;SIAM Journal on Control and Optimization;2023-05-11

5. Linear turnpike theorem;Mathematics of Control, Signals, and Systems;2023-04-03
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