奇摄动最优控制问题中的内部转移层解

Abstract

Abstract:

The existence of internal transition layer solution for a class of optimal control problem is proved by the singularly perturbed theory. In the framework of this paper, the authors not only give the conditions under which there exists an internal transition layer but also determine where an internal transition time is. Meanwhile, the uniformly valid asymptotic solution for the optimal control problem is constructed by the direct scheme method, which is based on the boundary function method. Finally, an example is presented to show the result.

Key words: Singular perturbation, Optimal control, Transition layer

CLC Number:

34B15

WU Li-Meng, NI Ming-Kang, LIU Hai-Bo. Internal Transition Layer Solution of Singularly Perturbed Optimal Control Problem [J].Acta mathematica scientia,Series A, 2013, 33(2): 206-215.

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Internal Transition Layer Solution of Singularly Perturbed Optimal Control Problem

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