A geometric approach for the optimal control of difference inclusions

Mathematics of Control Signals and Systems ◽

10.1007/s00498-019-0231-y ◽

2019 ◽

Vol 31 (2) ◽

pp. 1-27

Author(s):

Robert Kipka ◽

Rohit Gupta

Keyword(s):

Optimal Control ◽

Geometric Approach ◽

Difference Inclusions

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On time optimal control of linear discrete-time systems by geometric approach

International Journal of Control ◽

10.1080/00207177808922502 ◽

1978 ◽

Vol 28 (6) ◽

pp. 853-867 ◽

Author(s):

HAJIME AKASHI ◽

HIROYUKI IMAI ◽

MASAO ADACHI

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Geometric Approach ◽

Time Optimal Control ◽

Discrete Time Systems ◽

Time Optimal ◽

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A geometric approach to optimal control

World Congress of Nonlinear Analysts '92 ◽

10.1515/9783110883237.1579 ◽

1996 ◽

pp. 1579-1590

Keyword(s):

Optimal Control ◽

Geometric Approach

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A variational-geometric approach for the optimal control of nonholonomic systems

International Journal of Dynamics and Control ◽

10.1007/s40435-017-0326-6 ◽

2017 ◽

Vol 6 (2) ◽

pp. 652-662 ◽

Author(s):

Leonardo Colombo

Keyword(s):

Optimal Control ◽

Geometric Approach ◽

Nonholonomic Systems

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A geometric approach to discrete mechanics for optimal control theory

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

10.1109/cdc.2010.5717181 ◽

2010 ◽

Author(s):

Fernando Jimenez ◽

David Martin de Diego

Keyword(s):

Optimal Control ◽

Control Theory ◽

Optimal Control Theory ◽

Geometric Approach ◽

Discrete Mechanics

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Geometric approach to non-linear optimal control problems

International Journal of Control ◽

10.1080/00207179008934142 ◽

1990 ◽

Vol 51 (6) ◽

pp. 1409-1418

Author(s):

JING-SIN LlU ◽

KING YUAN

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Geometric Approach ◽

Control Problems ◽

Linear Optimal Control ◽

Linear Optimal Control Problems

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Value function and necessary conditions in optimal control problems for differential-difference inclusions

Nonlinear Analysis ◽

10.1016/s0362-546x(02)00306-1 ◽

2003 ◽

Vol 53 (3-4) ◽

pp. 407-424 ◽

Author(s):

Leonid I. Minchenko ◽

Alexey A. Volosevich

Keyword(s):

Optimal Control ◽

Value Function ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Control Problems ◽

Difference Inclusions

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A Geometric Approach to a Class of Optimal Control Problems

Lecture Notes in Control and Information Sciences - Proceedings - Stability, Control and Differential Games ◽

10.1007/978-3-030-42831-0_27 ◽

2020 ◽

pp. 305-314

Author(s):

Dmitrii R. Kuvshinov

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Geometric Approach ◽

Control Problems

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Optimal control of difference, differential, and differential-difference inclusions

Journal of Mathematical Sciences ◽

10.1007/bf02672708 ◽

2000 ◽

Vol 100 (6) ◽

pp. 2613-2632 ◽

Author(s):

B. S. Mordukhovich

Keyword(s):

Optimal Control ◽

Difference Inclusions

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The turnpike property in nonlinear optimal control—A geometric approach

10.1016/j.automatica.2021.109939 ◽

2021 ◽

Vol 134 ◽

pp. 109939

Author(s):

Noboru Sakamoto ◽

Enrique Zuazua

Keyword(s):

Optimal Control ◽

Geometric Approach ◽

Nonlinear Optimal Control ◽

Turnpike Property

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The turnpike property in nonlinear optimal control — A geometric approach

2019 IEEE 58th Conference on Decision and Control (CDC) ◽

10.1109/cdc40024.2019.9028863 ◽

2019 ◽

Author(s):

Noboru Sakamoto ◽

Dario Pighin ◽

Enrique Zuazua

Keyword(s):

Optimal Control ◽

Geometric Approach ◽

Nonlinear Optimal Control ◽

Turnpike Property

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