Title :
Global exponential stability of nonlinear impulsive discrete systems with time delay
Author :
Kexue Zhang ; Xinzhi Liu
Author_Institution :
Dept. of Appl. Math., Univ. of Waterloo, Waterloo, ON, Canada
Abstract :
This paper studies global exponential stability of general nonlinear impulsive discrete delay systems. By employing the Lyapunov function approach and Razumikhin technique, several global exponential stability criteria are established. As theoretic application, these results are used to investigate the exponential stability for a class of nonlinear impulsive discrete systems with time delay. Examples are given to illustrate our results.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; delays; discrete systems; nonlinear control systems; stability criteria; Lyapunov function approach; Razumikhin technique; general nonlinear impulsive discrete delay systems; global exponential stability criteria; time delay; Asymptotic stability; Control theory; Delay effects; Delay systems; Stability criteria; Exponential stability; Impulsive discrete system; Razumikhin technique; Time delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6560910
