Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems

Vladimir Gaitsgory; Ilya Shvartsman

doi:10.3934/dcdsb.2021102

Linear programming estimates for Cesàro and Abel limits of optimal values in optimal control problems

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2021102 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Vladimir Gaitsgory ◽

Ilya Shvartsman

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Optimal Control Problems ◽

Control Problems ◽

Optimal Values

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A linear programming approach to large-scale linear optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/9.384243 ◽

1995 ◽

Vol 40 (5) ◽

pp. 971-977 ◽

Cited By ~ 26

Author(s):

J.C. Moreno Banos ◽

M. Papageorgiou

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Large Scale ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Linear Optimal Control ◽

Linear Programming Approach ◽

Linear Optimal Control Problems

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The linear programming approach to deterministic optimal control problems

Applicationes Mathematicae ◽

10.4064/am-24-1-17-33 ◽

1996 ◽

Vol 24 (1) ◽

pp. 17-33 ◽

Cited By ~ 18

Author(s):

Daniel Hernández-Hernández ◽

Onésimo Hernández-Lerma ◽

Michael Taksar

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Linear Programming Approach

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Nonlinear Optimal Control Problems as Infinite-Dimensional Linear Programming Problems

Lecture Notes in Economics and Mathematical Systems - Infinite Programming ◽

10.1007/978-3-642-46564-2_13 ◽

1985 ◽

pp. 172-184

Author(s):

J. E. Rubio

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Infinite Dimensional ◽

Linear Programming Problems

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Solution of nonlinear optimal control problems in Hilbert spaces by means of linear programming techniques

Journal of Optimization Theory and Applications ◽

10.1007/bf01686727 ◽

1980 ◽

Vol 30 (4) ◽

pp. 643-661 ◽

Cited By ~ 5

Author(s):

J. E. Rubio

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Hilbert Spaces ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems ◽

Programming Techniques

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A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems

International Journal of Control ◽

10.1080/00207179.2017.1399216 ◽

2017 ◽

Vol 92 (7) ◽

pp. 1551-1566 ◽

Cited By ~ 3

Author(s):

Z. Foroozandeh ◽

M. Shamsi ◽

M. d. R. de Pinho

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Numerical Solution ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Singular Optimal Control ◽

Non Linear Programming ◽

Linear Programming Approach ◽

Non Linear

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A linear programming approach to large-scale linear optimal control problems

Proceedings of 1995 34th IEEE Conference on Decision and Control ◽

10.1109/cdc.1995.480240 ◽

2002 ◽

Cited By ~ 1

Author(s):

J.C.M. Banos ◽

M. Papageorgiou

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Large Scale ◽

Optimal Control Problems ◽

Programming Approach ◽

Control Problems ◽

Linear Optimal Control ◽

Linear Programming Approach ◽

Linear Optimal Control Problems

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On Infinite Linear Programming and the Moment Approach to Deterministic Infinite Horizon Discounted Optimal Control Problems

IEEE Control Systems Letters ◽

10.1109/lcsys.2017.2710234 ◽

2017 ◽

Vol 1 (1) ◽

pp. 134-139 ◽

Cited By ~ 2

Author(s):

Angeliki Kamoutsi ◽

Tobias Sutter ◽

Peyman Mohajerin Esfahani ◽

John Lygeros

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Control Problems ◽

Infinite Linear Programming ◽

Moment Approach ◽

The Moment ◽

Infinite Linear

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Non-linear programming and the maximum principle for discrete time optimal control problems

Revue française d automatique informatique recherche opérationnelle Recherche opérationnelle ◽

10.1051/ro/197509v300751 ◽

1975 ◽

Vol 9 (V3) ◽

pp. 75-91 ◽

Cited By ~ 2

Author(s):

T. L. Magnanti

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Maximum Principle ◽

Discrete Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

The Maximum Principle ◽

Non Linear Programming ◽

Time Optimal

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Duality, viability and optimality through linear programming approach to deterministic infinite horizon optimal control problems with discounting

49th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2010.5717687 ◽

2010 ◽

Author(s):

Vladimir Gaitsgory ◽

Marc Quincampoix

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Programming Approach ◽

Control Problems ◽

Linear Programming Approach

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Linear Programming Approach to Deterministic Infinite Horizon Optimal Control Problems with Discounting

SIAM Journal on Control and Optimization ◽

10.1137/070696209 ◽

2009 ◽

Vol 48 (4) ◽

pp. 2480-2512 ◽

Cited By ~ 48

Author(s):

Vladimir Gaitsgory ◽

Marc Quincampoix

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Programming Approach ◽

Control Problems ◽

Linear Programming Approach

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