On Periodic Flows of a 3-D Switching System with Many Subsystemso

被引：1

作者：

Luo, Albert C. J. ^{[1
]}

Wang, Yang ^{[2
]}

机构：

[1] Southern Illinois Univ Edwardsville, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA

[2] Southern Illinois Univ Edwardsville, Edwardsville, IL 62026 USA

来源：

DYNAMICAL SYSTEMS: DISCONTINUITY, STOCHASTICITY AND TIME-DELAY | 2010年

关键词：

STABILITY;

D O I：

10.1007/978-1-4419-5754-2_16

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this chapter, the stability and bifurcation of periodic flows in a switching system of multiple subsystems with transport laws at switching points is presented. The periodic flows and stability for linear switching systems are discussed as an example. Analytical prediction of the periodic flow in such linear switching systems is carried out and parameter maps of stability are given. The methodology presented in this chapter can be applied to nonlinear switching systems. The further results on chaos, stability, and bifurcation of periodic flows in nonlinear switching systems will be presented in sequel.

引用

页码：189 / 201

页数：13

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