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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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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On zero order asymptotic solution of singularly perturbed linear - quadratic problems in a critical case

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

10.4213/proc23000 ◽

2018 ◽

Author(s):

Galina Alekseevna Kurina ◽

Thi Hoai Nguyen

Keyword(s):

Asymptotic Solution ◽

Critical Case ◽

Singularly Perturbed ◽

Linear Quadratic

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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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Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512040100 ◽

2012 ◽

Vol 52 (4) ◽

pp. 524-547 ◽

Author(s):

G. A. Kurina ◽

T. H. Nguyen

Keyword(s):

Optimal Control ◽

Asymptotic Solution ◽

Optimal Control Problems ◽

Discontinuous Coefficients ◽

Singularly Perturbed ◽

Control Problems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Quadratic Optimal Control

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Projector Approach to the Butuzov–Nefedov Algorithm for Asymptotic Solution of a Class of Singularly Perturbed Problems in a Critical Case

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542520120076 ◽

2020 ◽

Vol 60 (12) ◽

pp. 2007-2018

Author(s):

G. A. Kurina ◽

N. T. Hoai

Keyword(s):

Asymptotic Solution ◽

Critical Case ◽

Singularly Perturbed ◽

Singularly Perturbed Problems

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Asymptotic solution of discrete periodic singularly perturbed linear-quadratic problem *

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)30813-3 ◽

2004 ◽

Vol 37 (17) ◽

pp. 169-175

Author(s):

G.A. Kurina ◽

N.V. Nekrasova

Keyword(s):

Asymptotic Solution ◽

Singularly Perturbed ◽

Linear Quadratic ◽

Quadratic Problem

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Asymptotic solution of a singularly perturbed nonlinear state regulator problem

Applied Mathematics and Mechanics ◽

10.1007/bf02458719 ◽

1995 ◽

Vol 16 (6) ◽

pp. 515-520

Author(s):

Lin surong ◽

Lin Zongchi

Keyword(s):

Asymptotic Solution ◽

Singularly Perturbed ◽

Regulator Problem ◽

State Regulator ◽

Nonlinear State

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Iterative grid methods for singularly perturbed elliptic equations degenerating into zero-order ones

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1993.8.4.341 ◽

1993 ◽

Vol 8 (4) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed

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Linear-quadratic pursuit-evasion game with zero-order players’ dynamics and terminal constraint for the evader

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.11.053 ◽

2015 ◽

Vol 48 (25) ◽

pp. 22-27 ◽

Author(s):

Valery Y. Glizer ◽

Vladimir Turetsky

Keyword(s):

Linear Quadratic ◽

Pursuit Evasion ◽

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Linear-quadratic-Gaussian problem for a new class of singularly perturbed stochastic systems

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7799407 ◽

2016 ◽

Author(s):

Kliti Kodra ◽

Zoran Gajic

Keyword(s):

Stochastic Systems ◽

Singularly Perturbed ◽

Linear Quadratic ◽

Linear Quadratic Gaussian ◽

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