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

Vladimir Gaitsgory; Marc Quincampoix

doi:10.1137/070696209

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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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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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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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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Linear programming formulations of deterministic infinite horizon optimal control problems in discrete time

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017192 ◽

2017 ◽

Vol 22 (10) ◽

pp. 3821-3838 ◽

Cited By ~ 5

Author(s):

Vladimir Gaitsgory ◽

◽

Alex Parkinson ◽

Ilya Shvartsman ◽

Keyword(s):

Optimal Control ◽

Linear Programming ◽

Discrete Time ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Control Problems

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An efficient numerical scheme for solving fractional infinite-horizon optimal control problems

ISA Transactions ◽

10.1016/j.isatra.2019.04.016 ◽

2019 ◽

Vol 94 ◽

pp. 108-118 ◽

Cited By ~ 6

Author(s):

Mina Yavari ◽

Alireza Nazemi

Keyword(s):

Optimal Control ◽

Numerical Scheme ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Control Problems

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On the class of infinite horizon optimal control problems affine, which are structurally stable

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3730 ◽

2015 ◽

Vol 39 (11) ◽

pp. 2799-2807 ◽

Cited By ~ 1

Author(s):

M'hamed Kesri

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Control Problems ◽

Structurally Stable

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Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method

Computational and Applied Mathematics ◽

10.1007/s40314-014-0184-1 ◽

2014 ◽

Vol 35 (1) ◽

pp. 97-117 ◽

Cited By ~ 4

Author(s):

Masoomeh Mansoori ◽

Alireza Nazemi

Keyword(s):

Optimal Control ◽

Collocation Method ◽

Optimal Control Problems ◽

Infinite Horizon ◽

Haar Wavelet ◽

Control Problems ◽

Delayed Systems ◽

Wavelet Collocation Method

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