Title :
Uniform stability of nonautonomous impulsive differential systems with time delay
Author :
Huamin Wang;Shukai Duan;Chuandong Li;Lidan Wang
Author_Institution :
College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China, Department of Mathematics, Luoyang Normal University, Luoyang 471022, China
Abstract :
This paper deals with the stability problems of nonautonomous impulsive differential systems with time-delay. By utilizing the method of mathematic induction, proofs by contradiction and Lyapunov-Krasovskii functional, we obtain several uniformly stable criteria about the linear and nonlinear nonautonomous impulsive systems with time delay. One numerical example and its simulations are given to illustrate the effectiveness of the theoretical result.
Keywords :
"Asymptotic stability","Stability criteria","Numerical stability","Delays","Eigenvalues and eigenfunctions","Delay effects"
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2015 Sixth International Conference on
Print_ISBN :
978-1-4799-1715-0
DOI :
10.1109/ICICIP.2015.7388187
