Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
