Paper Info
Title
Exponential stability of nonlinear time-delay systems with delayed impulse effects
Abstract
The problem of exponential stability for nonlinear time-delay systems with delayed impulses is addressed in this paper. Lyapunov-based sufficient conditions for exponential stability are derived, respectively, for two kinds of delayed impulses (i.e., destabilizing delayed impulses and stabilizing delayed impulses). It is shown that if a nonlinear impulsive time-delay system without impulse input delays is exponentially stable, then under some conditions, its stability is robust with respect to small impulse input delays. Moreover, it is also shown that for a stable nonlinear impulsive time-delay system, if the magnitude of the delayed impulses is sufficiently small, then under some conditions, the delayed impulses do not destroy the stability irrespective of the sizes of the impulse input delays. The efficiency of the proposed results is illustrated by three numerical examples.
Year
DOI
Venue
2011
10.1016/j.automatica.2011.02.031
Automatica
Keywords
DocType
Volume
Impulsive systems,Delayed impulses,Exponential stability
Journal
47
Issue
ISSN
Citations 
5
0005-1098
35
PageRank 
References 
Authors
1.31
10
2
Name
Order
Citations
PageRank
Wu-Hua Chen186958.24
Wei Xing Zheng24266274.73