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

School of Mathematical Sciences

East China Normal University

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

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.

Original language	English
Article number	080203
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	61
Issue number	8
State	Published - 20 Apr 2012

Keywords

Asymptotic solution
Internal layer
Singular perturbation

Cite this

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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",

issn = "1000-3290",

publisher = "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

Abstract

Keywords

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