Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
