Title :
Stability of discrete impulsive systems with time delays
Author :
Zhang, Yu ; Sun, Jitao
Author_Institution :
Dept. of Math., Tongji Univ., Shanghai, China
Abstract :
In this paper, stability of delay discrete impulsive systems in which the state variables on the impulses are related to the time delay is investigated. And a number of stability criteria are obtained by using Lyapunov functions and Razumikhin technique. Two examples are also presented to illustrate the efficiency of the obtained results.
Keywords :
Lyapunov methods; delays; discrete systems; stability; Lyapunov functions; Razumikhin technique; discrete impulsive systems stability; time delays; Asymptotic stability; Chemicals; Delay effects; Delay systems; Electromagnetic radiation; Lyapunov method; Stability analysis; Stability criteria; Sun; Systems biology; Lyapunov function; Razumikhin technique; discrete impulsive systems; stability; time delay;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400008
