FEATURES OF THE STRUCTURE OF THE SWITCHING POINTS OF OPTIMAL CONTROL OF THE MATRIX OF SINGULARLY PERTURBED LINEAR OPTIMAL CONTROL PROBLEM

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

10.12737/6758 ◽

2014 ◽

Vol 2 (5) ◽

pp. 88-91

Author(s):

Yu. Koripaeva

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Singularly Perturbed ◽

Linear Optimal Control ◽

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A direct approach using the finite element method for the solution of the linear optimal control problem with a quadratic criterion

Journal of the Franklin Institute ◽

10.1016/0016-0032(78)90040-6 ◽

1978 ◽

Vol 306 (4) ◽

pp. 309-319 ◽

Author(s):

J. Nakamichi ◽

K. Washizu

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Control Problem ◽

Direct Approach ◽

The Finite Element Method ◽

Linear Optimal Control ◽

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Application of the small parameter method to the singularly perturbed linear-quadratic optimal control problem

Automation and Remote Control ◽

10.1134/s0005117916050015 ◽

2016 ◽

Vol 77 (5) ◽

pp. 751-763 ◽

Author(s):

A. I. Kalinin ◽

L. I. Lavrinovich

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Small Parameter ◽

Control Problem ◽

Singularly Perturbed ◽

Parameter Method ◽

Linear Quadratic ◽

Small Parameter Method ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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On the asymptotics of the optimal value of the performance functional in a linear optimal control problem

Differential Equations ◽

10.1134/s0012266111040100 ◽

2011 ◽

Vol 47 (4) ◽

pp. 560-570

Author(s):

A. R. Danilin ◽

Yu. V. Parysheva

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Linear Optimal Control ◽

Optimal Value ◽

Performance Functional

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Step-Like Contrast Structure of Singularly Perturbed Optimal Control Problem

Journal of Computational Mathematics ◽

10.4208/jcm.1110-m11si07 ◽

2012 ◽

Vol 30 (1) ◽

pp. 2-13 ◽

Author(s):

Mingkang Ni and Limeng Wu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Singularly Perturbed ◽

Contrast Structure

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The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543807060053 ◽

2007 ◽

Vol 259 (S2) ◽

pp. S83-S94

Author(s):

A. R. Danilin ◽

Yu. V. Parysheva

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Regular Case ◽

Linear Optimal Control ◽

Optimal Value ◽

Performance Functional

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Asymptotic solution of singularly perturbed optimal control problem for the system describing the motion of a material point using fast-response regulator

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

10.12737/14470 ◽

2015 ◽

Vol 3 (5) ◽

pp. 120-123

Author(s):

Yu. Koripaeva ◽

I. Titov

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Asymptotic Solution ◽

Control Problem ◽

Response Regulator ◽

Fast Response ◽

Material Point ◽

Singularly Perturbed

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A numerical solution to the matrix ℋ2/ℋ∞ optimal control problem

International Journal of Robust and Nonlinear Control ◽

10.1002/(sici)1099-1239(199711)7:7<711::aid-rnc251>3.0.co;2-8 ◽

1997 ◽

Vol 7 (7) ◽

pp. 711-726 ◽

Author(s):

G. D. Halikias ◽

I. M. Jaimoukha ◽

D. A. Wilson

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Numerical Solution ◽

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Reciprocal relationships in the linear optimal-control problem

Electronics Letters ◽

10.1049/el:19710364 ◽

1971 ◽

Vol 7 (18) ◽

pp. 536 ◽

Author(s):

H. Nicholson

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Linear Optimal Control ◽

Reciprocal Relationships

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Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508110043 ◽

2008 ◽

Vol 48 (11) ◽

pp. 1945-1954 ◽

Author(s):

Ya. O. Grudo ◽

A. I. Kalinin

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Asymptotic Method ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Perturbed System ◽

Time Optimal ◽

Time Optimal Control Problem

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An algorithm for the asymptotic solution of a singularly perturbed linear time-optimal control problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(89)90072-5 ◽

1989 ◽

Vol 53 (6) ◽

pp. 695-703

Author(s):

A.I. Kalinin

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Asymptotic Solution ◽

Control Problem ◽

Linear Time ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Time Optimal ◽

Time Optimal Control Problem

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