Internal layer solution of singularly perturbed optimal control problem

Li Meng Wu; Ming Kang Ni

Internal layer solution of singularly perturbed optimal control problem

Li Meng Wu^*
, Ming Kang Ni

^*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

摘要

A class of singularly perturbed optimal control problem is studied by direct scheme method, which is based on the boundary function method. The internal layer solution is proved to be existing, and the uniformly valid asymptotic solution for the singularly perturbed optimal control problem is constructed.

源语言	英语
文章编号	080203
期刊	Wuli Xuebao/Acta Physica Sinica
卷	61
期	8
出版状态	已出版 - 20 4月 2012

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引用此

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title = "Internal layer solution of singularly perturbed optimal control problem",

abstract = "A class of singularly perturbed optimal control problem is studied by direct scheme method, which is based on the boundary function method. The internal layer solution is proved to be existing, and the uniformly valid asymptotic solution for the singularly perturbed optimal control problem is constructed.",

keywords = "Asymptotic solution, Internal layer, Singular perturbation",

author = "Wu, \{Li Meng\} and Ni, \{Ming Kang\}",

year = "2012",

month = apr,

day = "20",

language = "英语",

volume = "61",

journal = "Wuli Xuebao/Acta Physica Sinica",

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publisher = "Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences",

number = "8",

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TY - JOUR

T1 - Internal layer solution of singularly perturbed optimal control problem

AU - Wu, Li Meng

AU - Ni, Ming Kang

PY - 2012/4/20

Y1 - 2012/4/20

N2 - A class of singularly perturbed optimal control problem is studied by direct scheme method, which is based on the boundary function method. The internal layer solution is proved to be existing, and the uniformly valid asymptotic solution for the singularly perturbed optimal control problem is constructed.

AB - A class of singularly perturbed optimal control problem is studied by direct scheme method, which is based on the boundary function method. The internal layer solution is proved to be existing, and the uniformly valid asymptotic solution for the singularly perturbed optimal control problem is constructed.

KW - Asymptotic solution

KW - Internal layer

KW - Singular perturbation

UR - https://www.scopus.com/pages/publications/84860598442

M3 - 文章

AN - SCOPUS:84860598442

SN - 1000-3290

VL - 61

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 8

M1 - 080203

ER -

Internal layer solution of singularly perturbed optimal control problem

摘要

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