Step-like contrast structure of singularly perturbed optimal control problem

Limeng Wu; Mingkang Ni; Haibo Lu

doi:10.14232/ejqtde.2011.1.46

Step-like contrast structure of singularly perturbed optimal control problem

Limeng Wu^*
, Mingkang Ni
, Haibo Lu

^*此作品的通讯作者

数学科学学院

East China Normal University
Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the 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. Finally, an example is presented to show the result.

源语言	英语
页（从-至）	1-16
页数	16
期刊	Electronic Journal of Qualitative Theory of Differential Equations
DOI	https://doi.org/10.14232/ejqtde.2011.1.46
出版状态	已出版 - 2011

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10.14232/ejqtde.2011.1.46

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

abstract = "In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the 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. Finally, an example is presented to show the result.",

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

author = "Limeng Wu and Mingkang Ni and Haibo Lu",

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T1 - Step-like contrast structure of singularly perturbed optimal control problem

AU - Wu, Limeng

AU - Ni, Mingkang

AU - Lu, Haibo

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N2 - In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the 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. Finally, an example is presented to show the result.

AB - In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the 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. Finally, an example is presented to show the result.

KW - Contrast structure

KW - Optimal control

KW - Singular perturbation

UR - https://www.scopus.com/pages/publications/85087246920

U2 - 10.14232/ejqtde.2011.1.46

DO - 10.14232/ejqtde.2011.1.46

M3 - 文章

AN - SCOPUS:85087246920

SN - 1417-3875

SP - 1

EP - 16

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

ER -

Step-like contrast structure of singularly perturbed optimal control problem

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