Dissipation and stability of switched nonlinear differential algebraic systems

Author

Liu Yanhong ; Li Jianyong ; Li Chunwen

Author_Institution

Sch. of Electr. Eng., Zhengzhou Univ., Zhengzhou, China

fYear

2010

fDate

29-31 July 2010

Firstpage

739

Lastpage

743

Abstract

This paper investigates the dissipation and stability of switched nonlinear differential algebraic systems. First, a novel dissipative Hamiltonian realization of switched nonlinear differential algebraic systems is put forward. Then, we discuss the characteristics of the dissipative property of series, parallel and feedback interconnected switched nonlinear differential algebraic systems. It is shown that the dissipation property is invariant under parallel and feedback interconnection. Finally, by using Hamiltonian functions of the relative subsystems as multiple Lyapunov functions, we propose some sufficient conditions for the stability of dissipative switched nonlinear differential algebraic systems.

Keywords

Lyapunov methods; differential algebraic equations; interconnected systems; nonlinear systems; stability; time-varying systems; Hamiltonian functions; dissipation; dissipative Hamiltonian realization; feedback interconnection; multiple Lyapunov functions; parallel interconnection; series interconnection; stability; sufficient condition; switched nonlinear differential algebraic systems; Asymptotic stability; Interconnected systems; Lyapunov method; Nonlinear systems; Power system stability; Stability analysis; Switches; Dissipative Hamiltonian Realization; Stability Analysis; Switched Nonlinear Differential Algebraic Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5573363