Thrice Critical Case in Singularly Perturbed Control Problems

Trends in Mathematics - Extended Abstracts Summer 2016 ◽

10.1007/978-3-030-01153-6_15 ◽

2018 ◽

pp. 83-87

Author(s):

Vladimir A. Sobolev

Keyword(s):

Critical Case ◽

Singularly Perturbed ◽

Control Problems

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One Critical Case in Singularly Perturbed Control Problems

Journal of Physics Conference Series ◽

10.1088/1742-6596/811/1/012017 ◽

2017 ◽

Vol 811 ◽

pp. 012017

Author(s):

Vladimir Sobolev

Keyword(s):

Critical Case ◽

Singularly Perturbed ◽

Control Problems

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Asymptotic Solution of a Singularly Perturbed Linear-Quadratic Problem in Critical Case with Cheap Control

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1156-6 ◽

2017 ◽

Vol 175 (2) ◽

pp. 324-340 ◽

Author(s):

Nguyen Thi Hoai

Keyword(s):

Asymptotic Solution ◽

Critical Case ◽

Singularly Perturbed ◽

Linear Quadratic ◽

Quadratic Problem ◽

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Projector approach for constructing the zero order asymptotic solution for the singularly perturbed linear-quadratic control problem in a critical case

10.1063/1.5049067 ◽

2018 ◽

Author(s):

Galina A. Kurina ◽

Nguyen Thi Hoai

Keyword(s):

Asymptotic Solution ◽

Control Problem ◽

Critical Case ◽

Singularly Perturbed ◽

Linear Quadratic Control ◽

Linear Quadratic ◽

Linear Quadratic Control Problem

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Asymptotic series solution of singularly perturbed free time optimal control problems

10.1109/cdc.1975.270644 ◽

1975 ◽

Author(s):

P. Reddy

Keyword(s):

Optimal Control ◽

Series Solution ◽

Optimal Control Problems ◽

Asymptotic Series ◽

Free Time ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Control Problems ◽

Time Optimal ◽

Asymptotic Series Solution

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On Average Control Generating Families for Singularly Perturbed Optimal Control Problems with Long Run Average Optimality Criteria

Set-Valued and Variational Analysis ◽

10.1007/s11228-014-0306-3 ◽

2014 ◽

Vol 23 (1) ◽

pp. 87-131 ◽

Author(s):

Vladimir Gaitsgory ◽

Ludmila Manic ◽

Sergey Rossomakhine

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Optimality Criteria ◽

Singularly Perturbed ◽

Control Problems ◽

Long Run ◽

Average Control

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Zero‐order asymptotic solution of a class of singularly perturbed linear‐quadratic problems with weak controls in a critical case

Optimal Control Applications and Methods ◽

10.1002/oca.2514 ◽

2019 ◽

Vol 40 (5) ◽

pp. 859-879

Author(s):

Galina Kurina ◽

Nguyen Thi Hoai

Keyword(s):

Asymptotic Solution ◽

Critical Case ◽

Singularly Perturbed ◽

Linear Quadratic

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A Generalized Cauchy Problem for Singularly Perturbed Impulsive Systems in the Critical Case

Differential Equations ◽

10.1023/b:dieq.0000035770.00601.39 ◽

2004 ◽

Vol 40 (3) ◽

pp. 329-343 ◽

Author(s):

L. I. Karandzhulov ◽

Ya. P. Stoyanova

Keyword(s):

Cauchy Problem ◽

Critical Case ◽

Singularly Perturbed ◽

Impulsive Systems ◽

Generalized Cauchy Problem

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Boundary layer methods for certain nonlinear singularly perturbed optimal control problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(74)90086-9 ◽

1974 ◽

Vol 45 (2) ◽

pp. 468-484 ◽

Author(s):

R.E O'Malley

Keyword(s):

Boundary Layer ◽

Optimal Control ◽

Optimal Control Problems ◽

Singularly Perturbed ◽

Control Problems

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Eigenvector approach for order-reduction of singularly perturbed linear-quadratic optimal control problems

10.1016/s0005-1098(98)00141-1 ◽

1999 ◽

Vol 35 (1) ◽

pp. 151-158 ◽

Author(s):

V. Kecman ◽

S. Bingulac ◽

Z. Gajic

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Order Reduction ◽

Singularly Perturbed ◽

Control Problems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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Erratum to: “On the Asymptotics of the Solution to a Singularly Perturbed Hyperbolic System of Equations with Several Spatial Variables in the Critical Case”

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542514110104 ◽

2014 ◽

Vol 54 (11) ◽

pp. 1759-1759

Author(s):

T. V. Pavlyuk ◽

A. V. Nesterov

Keyword(s):

Hyperbolic System ◽

Critical Case ◽

Singularly Perturbed ◽

System Of Equations ◽

Spatial Variables ◽

Hyperbolic System Of Equations

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