Stability and stabilization of positive switched systems

Author

Zhang Junfeng ; Han Zhengzhi ; Zhu Fubo ; Huang Jun

Author_Institution

Sch. of Electron. Inf. & Electr. Eng., Shanghai Jiao Tong Univ., Shanghai, China

fYear

2013

Firstpage

78

Lastpage

83

Abstract

This paper investigates stability and stabilization of positive switched systems. Being different from the Lyapunov function approach commonly used in the literature, the method employed in the paper gives a way to solve the stability and stabilization of the systems when a Lyapunov function can not be constructed. Firstly, by using the linear programming approach, the stability of autonomous systems is considered. Secondly, a state feedback law is designed for non-autonomous systems, and the stabilization of the systems with average dwell time is guaranteed. Finally, two illustrative examples are given to verify the correctness of the present design.

Keywords

Lyapunov methods; linear programming; stability; state feedback; time-varying systems; Lyapunov function approach; autonomous system stability; linear programming approach; nonautonomous systems; positive switched system stability; positive switched system stabilization; state feedback law design; Educational institutions; Lyapunov methods; Simulation; Stability analysis; Switched systems; Switches; Vectors; Positive switched systems; average dwell time; linear programming; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639404