Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables

Yu. Koripaeva; A. Suslov

doi:10.12737/6357

Bringing one-optimal control problem for linear matrix singular perturbation of the system to the form of separation of variables

Actual directions of scientific researches of the XXI century theory and practice ◽

10.12737/6357 ◽

2014 ◽

Vol 2 (5) ◽

pp. 112-114

Author(s):

Yu. Koripaeva ◽

A. Suslov

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Separation Of Variables ◽

Linear Matrix

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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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Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s008154381405006x ◽

2014 ◽

Vol 285 (S1) ◽

pp. 58-67 ◽

Cited By ~ 1

Author(s):

A. R. Danilin ◽

N. S. Korobitsyna

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Closed Interval ◽

Geometric Constraints ◽

Asymptotic Estimates

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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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Singular perturbation method for a closed-loop optimal control problem

IEE Proceedings D Control Theory and Applications ◽

10.1049/ip-d.1980.0001 ◽

1980 ◽

Vol 127 (1) ◽

pp. 1 ◽

Cited By ~ 13

Author(s):

D.S. Naidu ◽

P.K. Rajagopalan

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Perturbation Method ◽

Closed Loop ◽

Singular Perturbation Method

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Stochastic Singular Optimal Control Problem with State Delays: Regularization, Singular Perturbation, and Minimizing Sequence

SIAM Journal on Control and Optimization ◽

10.1137/110852784 ◽

2012 ◽

Vol 50 (5) ◽

pp. 2862-2888 ◽

Cited By ~ 10

Author(s):

Valery Y. Glizer

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Minimizing Sequence ◽

Singular Optimal Control ◽

State Delays ◽

Singular Optimal Control Problem

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Singular perturbation analysis of the closed-loop discrete optimal control problem

Optimal Control Applications and Methods ◽

10.1002/oca.4660050103 ◽

1984 ◽

Vol 5 (1) ◽

pp. 19-37 ◽

Cited By ~ 19

Author(s):

D. S. Naidu ◽

A. K. Rao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Perturbation Analysis ◽

Closed Loop ◽

Discrete Optimal Control ◽

Singular Perturbation Analysis ◽

Discrete Optimal Control Problem

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Singular-perturbation analysis of a closed-loop fixed-end-point optimal-control problem

IEE Proceedings D Control Theory and Applications ◽

10.1049/ip-d.1980.0033 ◽

1980 ◽

Vol 127 (5) ◽

pp. 194 ◽

Cited By ~ 2

Author(s):

P.K. Rajagopalan ◽

D.S. Naidu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Perturbation Analysis ◽

Closed Loop ◽

End Point ◽

Singular Perturbation Analysis ◽

Fixed End

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A complete asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with geometric constraints

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543817020110 ◽

2017 ◽

Vol 296 (S1) ◽

pp. 119-127

Author(s):

A. R. Danilin

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Geometric Constraints ◽

Complete Asymptotic Expansion

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Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543815090059 ◽

2015 ◽

Vol 291 (S1) ◽

pp. 66-76

Author(s):

A. R. Danilin

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Singular Perturbation ◽

Control Problem ◽

Integral Constraint

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Singular perturbation method applied to the open-loop discrete optimal control problem with two small parameters

International Journal of Systems Science ◽

10.1080/00207728908910170 ◽

1989 ◽

Vol 20 (5) ◽

pp. 793-809 ◽

Cited By ~ 2

Author(s):

M. S. KRISHNARAYALU

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 ◽

Small Parameters

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