ASYMPTOTIC EXPANSION OF A SOLUTION FOR ONE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM IN RnRn WITH A CONVEX INTEGRAL QUALITY INDEX

Alexander A. Shaburov

doi:10.15826/umj.2017.1.005

ASYMPTOTIC EXPANSION OF A SOLUTION FOR ONE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM IN RnRn WITH A CONVEX INTEGRAL QUALITY INDEX

Ural mathematical journal ◽

10.15826/umj.2017.1.005 ◽

2017 ◽

Vol 3 (1) ◽

pp. 68-75

Author(s):

Alexander A. Shaburov

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Control Problem ◽

Quality Index ◽

Singularly Perturbed ◽

Integral Quality

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Asymptotic expansion of a solution for the singularly perturbed optimal control problem with a convex integral quality index and smooth control constraints

Izvestiya Instituta Matematiki i Informatiki Udmurt Gos Univ ◽

10.20537/2226-3594-2017-50-09 ◽

2017 ◽

Vol 50 ◽

pp. 110-120 ◽

Cited By ~ 1

Author(s):

A.A. Shaburov ◽

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Control Problem ◽

Quality Index ◽

Singularly Perturbed ◽

Control Constraints ◽

Smooth Control ◽

Integral Quality

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ASYMPTOTIC EXPANSION OF A SOLUTION FOR THE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM WITH A CONVEX INTEGRAL QUALITY INDEX AND SMOOTH CONTROL CONSTRAINTS

Ural mathematical journal ◽

10.15826/umj.2018.1.006 ◽

2018 ◽

Vol 4 (1) ◽

pp. 63-73

Author(s):

Alexander A. Shaburov ◽

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Control Problem ◽

Quality Index ◽

Singularly Perturbed ◽

Control Constraints ◽

Smooth Control ◽

Integral Quality

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Asymptotic expansion of solution to singularly perturbed optimal control problem with convex integral quality functional with terminal part depending on slow and fast variables

Ufimskii Matematicheskii Zhurnal ◽

10.13108/2019-11-2-82 ◽

2019 ◽

Vol 11 (2) ◽

pp. 82-96

Author(s):

Aleksei Rufimovich Danilin ◽

A A Shaburov

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Control Problem ◽

Singularly Perturbed ◽

Terminal Part ◽

Asymptotic Expansion Of Solution ◽

Integral Quality

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Asymptotic expansion of a solution to a singularly perturbed optimal control problem with a convex integral performance index whose terminal part depends on slow and fast variables

Proceeding of the International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin ◽

10.4213/proc22969 ◽

2018 ◽

Author(s):

Aleksei Rufimovich Danilin ◽

A A Shaburov

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Control Problem ◽

Performance Index ◽

Singularly Perturbed ◽

Terminal Part

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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 ◽

Cited By ~ 2

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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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 ◽

Cited By ~ 1

Author(s):

Mingkang Ni and Limeng Wu

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Singularly Perturbed ◽

Contrast Structure

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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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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 ◽

Cited By ~ 1

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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Linear-quadratic optimal control problem for singularly perturbed systems with small delays

Nonlinear Analysis and Optimization II - Contemporary Mathematics ◽

10.1090/conm/514/10106 ◽

2010 ◽

pp. 155-188 ◽

Cited By ~ 1

Author(s):

Valery Y. Glizer

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Perturbed Systems ◽

Quadratic Optimal Control

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