Necessary and Sufficient Conditions of Stability for Switched Nonlinear Systems

被引：0

作者：

Zhu, Liying ^{[1
]}

Feng, Gang ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Inform Engn, Jinhua 321004, Zhejiang, Peoples R China

[2] City Univ Hong Kong, Dept Mech & Biomed Engn, Hong Kong, Hong Kong, Peoples R China

来源：

2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2014年

关键词：

Switched systems; nonlinear systems; maximum energy function method; stability/asymptotic stability; MULTIMACHINE POWER-SYSTEMS; LYAPUNOV FUNCTION; HAMILTONIAN REALIZATION; ATTENUATION CONTROL; STABILIZATION; DESIGN;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates stability/asymptotic stability of switched nonlinear systems with potentially unstable subsystems. At first, switched nonlinear Hamiltonian systems are considered and several necessary and sufficient conditions of stability/asymptotic stability are developed via the maximum energy function based method. Based on the new stability results obtained and the method of Hamiltonian realization, several necessary and sufficient conditions of stability/asymptotic stability are then presented for ordinary switched nonlinear systems with potentially unstable subsystems. A numerical example of an ordinary switched nonlinear system with all unstable subsystems illustrates the effectiveness of the obtained stability results.

引用

页码：2079 / 2084

页数：6

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