Subgradients  of  the optimal value  function   in a parametric discrete optimal
control problem

Nguyen Huy Chieu;  ; Jen-Chih Yao;

doi:10.3934/jimo.2010.6.401

Subgradients of the optimal value function in a parametric discrete optimal control problem

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2010.6.401 ◽

2010 ◽

Vol 6 (2) ◽

pp. 401-410 ◽

Cited By ~ 4

Author(s):

Nguyen Huy Chieu ◽

◽

Jen-Chih Yao ◽

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Value Function ◽

Optimal Value Function ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

Optimal Value

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The Lipschitz Properties of the Value Function and the Solution Map to a Parametric Discrete Optimal Control Problem

Acta Mathematica Vietnamica ◽

10.1007/s40306-020-00371-5 ◽

2020 ◽

Vol 45 (2) ◽

pp. 365-382

Author(s):

Nguyen Thi Toan ◽

Le Quang Thuy

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Value Function ◽

Solution Map ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

The Value Function ◽

Lipschitz Properties

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Mordukhovich subgradients of the value function to a parametric discrete optimal control problem

Journal of Global Optimization ◽

10.1007/s10898-013-0062-1 ◽

2013 ◽

Vol 58 (3) ◽

pp. 595-612 ◽

Cited By ~ 8

Author(s):

N. T. Toan ◽

J.-C. Yao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Value Function ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

The Value Function

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Linearized and quadratic necessary optimality conditions in one 2-D discrete optimal control problem involving functional constraints of inequality type

2012 IV International Conference "Problems of Cybernetics and Informatics" (PCI) ◽

10.1109/icpci.2012.6486439 ◽

2012 ◽

Author(s):

Mehriban Nasiyati

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Functional Constraints ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

Inequality Type

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Singular perturbation method applied to the open-loop discrete optimal control problem

Optimal Control Applications and Methods ◽

10.1002/oca.4660030203 ◽

2007 ◽

Vol 3 (2) ◽

pp. 121-131 ◽

Cited By ~ 17

Author(s):

A. Kailasa Rao ◽

D. S. Naidu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Perturbation Method ◽

Open Loop ◽

Singular Perturbation Method ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Singular perturbation method applied to the closed-loop discrete optimal control problem

Optimal Control Applications and Methods ◽

10.1002/oca.4660110107 ◽

1990 ◽

Vol 11 (1) ◽

pp. 75-83 ◽

Cited By ~ 3

Author(s):

M. S. Krishnarayalu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Perturbation Method ◽

Closed Loop ◽

Singular Perturbation Method ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0648-x ◽

2014 ◽

Vol 165 (3) ◽

pp. 812-836 ◽

Cited By ~ 4

Author(s):

N. T. Toan ◽

Q. H. Ansari ◽

J.-C. Yao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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Investigation of one linear non-smooth two-parameter discrete optimal control problem

Technology audit and production reserves ◽

10.15587/2312-8372.2019.180548 ◽

2019 ◽

Vol 4 (2(48)) ◽

pp. 38-41

Author(s):

Mehriban Nasiyyati

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

Two Parameter

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Equivalent discrete optimal control problem for randomly sampled digital control systems

International Journal of Systems Science ◽

10.1080/00207728008967059 ◽

1980 ◽

Vol 11 (7) ◽

pp. 841-850 ◽

Cited By ~ 27

Author(s):

W. L. DE KONING

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Control Systems ◽

Digital Control ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

Digital Control Systems

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Second‐order necessary optimality conditions for a discrete optimal control problem with nonlinear state equations

Optimal Control Applications and Methods ◽

10.1002/oca.2655 ◽

2020 ◽

Vol 41 (6) ◽

pp. 2250-2281

Author(s):

N. T. Toan ◽

L. Q. Thuy ◽

Q. H. Ansari ◽

J.‐C. Yao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Necessary Optimality Conditions ◽

Second Order ◽

State Equations ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem ◽

Nonlinear State

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Necessary first and second order optimality conditions in a discrete optimal control problem

Automatic Control and Computer Sciences ◽

10.3103/s0146411613010021 ◽

2013 ◽

Vol 47 (1) ◽

pp. 7-14

Author(s):

R. R. Amirova ◽

K. B. Mansimov

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Optimality Conditions ◽

Second Order ◽

Second Order Optimality Conditions ◽

Discrete Optimal Control ◽

Discrete Optimal Control Problem

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