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

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	2-13
页数	12
期刊	Journal of Computational Mathematics
卷	30
期	1
DOI	https://doi.org/10.4208/jcm.1110-m11si07
出版状态	已出版 - 1月 2012

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10.4208/jcm.1110-m11si07

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title = "Step-like contrast structure of singularly perturbed optimal control problem",

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.",

keywords = "Contrast structure, Optimal control problem, Singular perturbation",

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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.

KW - Contrast structure

KW - Optimal control problem

KW - Singular perturbation

UR - https://www.scopus.com/pages/publications/84857660041

U2 - 10.4208/jcm.1110-m11si07

DO - 10.4208/jcm.1110-m11si07

M3 - 文章

AN - SCOPUS:84857660041

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VL - 30

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JO - Journal of Computational Mathematics

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Step-like contrast structure of singularly perturbed optimal control problem

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