Internal Layer Solution of Singularly Perturbed Optimal Control Problem with Integral Boundary Condition

Limeng Wu; Mingkang Ni; Haibo Lu

doi:10.1007/s12346-017-0261-0

Internal Layer Solution of Singularly Perturbed Optimal Control Problem with Integral Boundary Condition

Limeng Wu, Mingkang Ni, Haibo Lu

School of Mathematical Sciences

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

4 Scopus citations

Abstract

In this paper, we investigate a class of singularly perturbed optimal control problem with integral boundary condition. By means of k+ σ exchange lemma, the existence of internal layer solution for the optimal control problem is proved. Meanwhile, the uniformly valid asymptotic solution is constructed by the boundary function method. Finally, an example is given for illustrating the main result.

Original language	English
Pages (from-to)	49-66
Number of pages	18
Journal	Qualitative Theory of Dynamical Systems
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s12346-017-0261-0
State	Published - 1 Apr 2018

Keywords

Internal layer solution
Optimal control
Singular perturbation

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10.1007/s12346-017-0261-0

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title = "Internal Layer Solution of Singularly Perturbed Optimal Control Problem with Integral Boundary Condition",

abstract = "In this paper, we investigate a class of singularly perturbed optimal control problem with integral boundary condition. By means of k+ σ exchange lemma, the existence of internal layer solution for the optimal control problem is proved. Meanwhile, the uniformly valid asymptotic solution is constructed by the boundary function method. Finally, an example is given for illustrating the main result.",

keywords = "Internal layer solution, Optimal control, Singular perturbation",

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

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AU - Wu, Limeng

AU - Ni, Mingkang

AU - Lu, Haibo

PY - 2018/4/1

Y1 - 2018/4/1

N2 - In this paper, we investigate a class of singularly perturbed optimal control problem with integral boundary condition. By means of k+ σ exchange lemma, the existence of internal layer solution for the optimal control problem is proved. Meanwhile, the uniformly valid asymptotic solution is constructed by the boundary function method. Finally, an example is given for illustrating the main result.

AB - In this paper, we investigate a class of singularly perturbed optimal control problem with integral boundary condition. By means of k+ σ exchange lemma, the existence of internal layer solution for the optimal control problem is proved. Meanwhile, the uniformly valid asymptotic solution is constructed by the boundary function method. Finally, an example is given for illustrating the main result.

KW - Internal layer solution

KW - Optimal control

KW - Singular perturbation

UR - https://www.scopus.com/pages/publications/85044154712

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DO - 10.1007/s12346-017-0261-0

M3 - 文章

AN - SCOPUS:85044154712

SN - 1575-5460

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JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

IS - 1

ER -

Internal Layer Solution of Singularly Perturbed Optimal Control Problem with Integral Boundary Condition

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