ASYMPTOTIC SOLUTION OF SINGULARLY PERTURBED HYBRID DYNAMICAL SYSTEMS

被引：1

作者：

Wu, Limeng ^{[1
]}

Zhang, Juan ^{[1
]}

Ni, Mingkang ^{[2
]}

Lu, Haibo ^{[3
]}

机构：

[1] Hebei Normal Univ Sci & Technol, Sch Math & Informat Technol, Qinhuangdao 066004, Peoples R China

[2] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[3] Shanghai Inst Technol, Sch Econ & Management, Shanghai 201418, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 05期

基金：

中国国家自然科学基金;

关键词：

optimal control; hybrid dynamical system; singular perturbation; SLOW-FAST DECOMPOSITION; EQUATION;

D O I：

10.1016/S0252-9602(16)30081-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of optimal control problem for the singularly perturbed hybrid dynamical systems. By means of variational method, we obtain the necessary conditions of the hybrid dynamical systems. Meanwhile, the existence of solution for the hybrid dynamical system is proved by the sewing method and the uniformly valid asymptotic expansion of the optimal trajectory is constructed by the boundary function method. Finally, an example is presented to illustrate the result.

引用

页码：1457 / 1466

页数：10

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