Title :
Less conservative conditions for asymptotic stability of impulsive control systems
Author :
Sun, Jitao ; Zhang, Yinping ; Wu, Qidi
Author_Institution :
Dept. of Appl. Math., Tongji Univ., Shanghai, China
fDate :
5/1/2003 12:00:00 AM
Abstract :
This note studies the stability of impulsive control systems. A new comparison theorem for asymptotic stability of impulsive differential system is presented. Based on the new result, we derive some less conservative conditions for asymptotic stability of impulsive control systems with impulses at fixed times and the results are used to design impulsive control for a class of nonlinear systems. The class of nonlinear systems considered is also enlarged.
Keywords :
asymptotic stability; control system synthesis; nonlinear control systems; stability criteria; asymptotic stability; impulsive control systems; impulsive differential system; less conservative conditions; nonlinear systems; Asymptotic stability; Chaotic communication; Chemical reactors; Communication system control; Control systems; Insects; Lyapunov method; Nonlinear control systems; Nonlinear systems; Sun;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.811262
