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

School of Mathematical Sciences

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

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.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Electronic Journal of Qualitative Theory of Differential Equations
DOIs	https://doi.org/10.14232/ejqtde.2011.1.46
State	Published - 2011

Keywords

Contrast structure
Optimal control
Singular perturbation

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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.",

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AU - Ni, Mingkang

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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

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DO - 10.14232/ejqtde.2011.1.46

M3 - 文章

AN - SCOPUS:85087246920

SN - 1417-3875

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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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Keywords

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