Step-like contrast structure of singularly perturbed optimal control problem

Mingkang Ni; Limeng Wu

doi:10.4208/jcm.1110-m11si07

Step-like contrast structure of singularly perturbed optimal control problem

Mingkang Ni, Limeng Wu

School of Mathematical Sciences

East China Normal University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The existence of step-like contrast structure for a class of singularly perturbed optimal control problem is presented by contrast structure theory. By means of direct scheme of boundary function method, we construct the uniformly valid asymptotic solution for the singularly perturbed optimal control problem. As an application, an example is given to illustrate the main result in this paper.

Original language	English
Pages (from-to)	2-13
Number of pages	12
Journal	Journal of Computational Mathematics
Volume	30
Issue number	1
DOIs	https://doi.org/10.4208/jcm.1110-m11si07
State	Published - Jan 2012

Keywords

Contrast structure
Optimal control problem
Singular perturbation

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10.4208/jcm.1110-m11si07

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abstract = "The existence of step-like contrast structure for a class of singularly perturbed optimal control problem is presented by contrast structure theory. By means of direct scheme of boundary function method, we construct the uniformly valid asymptotic solution for the singularly perturbed optimal control problem. As an application, an example is given to illustrate the main result in this paper.",

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AB - The existence of step-like contrast structure for a class of singularly perturbed optimal control problem is presented by contrast structure theory. By means of direct scheme of boundary function method, we construct the uniformly valid asymptotic solution for the singularly perturbed optimal control problem. As an application, an example is given to illustrate the main result in this paper.

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KW - Optimal control problem

KW - Singular perturbation

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Step-like contrast structure of singularly perturbed optimal control problem

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Keywords

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