Time-scaling symmetry and Zeno solutions

被引：13

作者：

Schumacher, J. M. ^{[1
,2
]}

机构：

[1] Tilburg Univ, Dept Econometr & Operat Res, NL-5000 LE Tilburg, Netherlands

[2] Tilburg Univ, CentER, NL-5000 LE Tilburg, Netherlands

来源：

AUTOMATICA | 2009年 / 45卷 / 05期

关键词：

Time-scaling symmetry; Zeno solutions; Relay systems; Orbit return map; Dimension reduction; Hybrid systems;

D O I：

10.1016/j.automatica.2008.12.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Symmetries are often helpful in reducing the complexity of the analysis of dynamical systems. Here we discuss a symmetry that combines a transformation in space with a scaling of time Examples are given. of a number of nonsmooth dynamical systems in which a symmetry of this type occurs. The time-scaling symmetry can be combined with return mapping analysis to achieve a dimension reduction in addition to the one already obtained from considering the return map. The method is applied in a study of Zeno behavior in linear systems with relay feedback. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1237 / 1242

页数：6

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