On a representation of the limit occupational measures set of a control system with applications to singularly perturbed control systems

被引：49

作者：

Gaitsgory, V ^{[1
]}

机构：

[1] Univ S Australia, Sch Math, Mawson Lakes, SA 5095, Australia

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2004年 / 43卷 / 01期

关键词：

singularly perturbed control systems; occupational measures; averaging method; limit occupational measures sets; approximation of slow motions;

D O I：

10.1137/S0363012903424186

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A representation of the limit occupational measures set of a control system in terms of the vector function de. ning the system's dynamics is established. Applications in averaging of singularly perturbed control systems are demonstrated.

引用

页码：325 / 340

页数：16

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