Multiscale singularly perturbed control systems: Limit occupational measures sets and averaging

被引：34

作者：

Gaitsgory, V ^{[1
]}

Nguyen, MT ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2002年 / 41卷 / 03期

关键词：

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

D O I：

10.1137/S0363012901393055

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An averaging technique for nonlinear multiscale singularly perturbed control systems is developed. Issues concerning the existence and structure of limit occupational measures sets generated by such systems are discussed. General results are illustrated with special cases.

引用

页码：954 / 974

页数：21

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