Title :
A new Lyapunov approach to stability analysis of discrete-time switched linear singular systems
Author :
Bo, Men ; Xiaosong, Li ; Qingling, Zhang
Author_Institution :
Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
Abstract :
In this paper, multiple Lyapunov functions and Lyapunov inequalities are used to investigate the stability of discrete-time switched linear singular (DSLS) systems. Based on the existing criteria of stability for discrete-time switched systems, a sufficient condition of stability of DSLS for arbitrary switching laws is proposed in terms of a set of coupled strict linear inequalities. Then a method to construct a class of multiple Lyapunov functions is presented. Finally, an example is given to illustrate the main results in this paper.
Keywords :
Lyapunov methods; discrete time systems; linear matrix inequalities; linear systems; stability; Lyapunov inequalities; arbitrary switching laws; coupled strict linear inequalities; discrete-time switched linear singular system; multiple Lyapunov functions; stability analysis; Control system synthesis; Control theory; DSL; Equations; Laser sintering; Lyapunov method; Stability analysis; Stability criteria; Sufficient conditions; Switched systems; discrete-time switched singular systems; multiple Lyapunov; stability; strict linear Lyapunov inequalities;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498785
