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

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 ◽

Author(s):

A.A. Shaburov ◽

Keyword(s):

Optimal Control ◽

Asymptotic Expansion ◽

Optimal Control Problem ◽

Control Problem ◽

Quality Index ◽

Singularly Perturbed ◽

Control Constraints ◽

Smooth Control ◽

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 ◽

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

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

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

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 ◽

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

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

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

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

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

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

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

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 ◽

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