Title :
Exponential stability of singular impulsive systems with time-varying delays
Author :
Yang, Zhiguo ; Yang, Zhichun
Author_Institution :
Coll. of Math. & Software Sci., Sichuan Normal Univ., Chengdu, China
Abstract :
In this article, a model of singular systems involving time-varying delays and impulses is considered. By establishing a singular delay differential inequality with impulsive initial condition and using the property of M-matrix, some new sufficient conditions ensuring the global exponential stability of the zero solution of singular systems are obtained. The results can extend and improve those of the earlier publications. An example is given to illustrate the theory.
Keywords :
asymptotic stability; delay-differential systems; delays; matrix algebra; singularly perturbed systems; time-varying systems; M-matrix property; global exponential stability; impulsive initial condition; singular delay differential inequality; singular impulsive systems; time-varying delays; zero solution; Circuit stability; Convergence; Delay; Robustness; Stability analysis; Thermal stability; Time varying systems;
Conference_Titel :
Advanced Computational Intelligence (IWACI), 2010 Third International Workshop on
Conference_Location :
Suzhou, Jiangsu
Print_ISBN :
978-1-4244-6334-3
DOI :
10.1109/IWACI.2010.5585129
