Necessary and sufficient conditions of stability for switched nonlinear systems

Author

Liying Zhu ; Gang Feng

Author_Institution

Coll. of Math., Phys. & Inform. Eng., Zhejiang Normal Univ., Jinhua, China

fYear

2014

Firstpage

2079

Lastpage

2084

Abstract

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.

Keywords

asymptotic stability; nonlinear control systems; time-varying systems; asymptotic stability; maximum energy function; switched nonlinear Hamiltonian systems; Asymptotic stability; Nonlinear systems; Numerical stability; Power system stability; Stability analysis; Switched systems; Switches; Switched systems; maximum energy function method; nonlinear systems; stability/asymptotic stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7053042

Filename

7053042