Title :
Stability analysis for a class of switched positive systems with time delay
Author :
Liu Jiao ; Lian Jie ; Wang Min
Author_Institution :
Fac. of Electron. Inf. & Electr. Eng., Dalian Univ. of Technol., Dalian, China
Abstract :
In this paper, the problem of exponential stability for a class of switched positive linear systems with time delay is investigated in discrete-time case. By using a newly constructed copositive Lyapunov functional, sufficient conditions for exponential stability are developed under average dwell time switching. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). An illustrative example is given to demonstrate the effectiveness of the proposed results.
Keywords :
Lyapunov methods; asymptotic stability; delays; discrete time systems; functional equations; linear matrix inequalities; linear systems; time-varying systems; LMI; average dwell time switching; copositive Lyapunov functional; delay-dependent conditions; discrete-time systems; exponential stability analysis; linear matrix inequalities; sufficient conditions; switched positive linear systems; time delay; Asymptotic stability; Bismuth; Control theory; Linear systems; Stability analysis; Switches; Average dwell time; Copositive Lyapunov function; Exponential stability; Switched positive delay systems;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
