Paper Info
Title
Robust stability and H INFINITY -control of uncertain impulsive systems with time-delay
Abstract
This paper investigates the problems of robust stability, stabilization and H∞-control for uncertain impulsive systems with time-delay. The parametric uncertainties are assumed to be time-varying and norm-bounded. Three classes of impulsive systems with time-delay are considered: the systems with stable/stabilizable continuous dynamics and unstable/unstabilizable discrete dynamics, the systems with unstable/unstabilizable continuous dynamics and stable/stabilizable discrete dynamics, and the systems where both the continuous-time dynamics and the discrete-time dynamics are stable/stabilizable. For each class of system, by using the Lyapunov function and Razumikhin-type techniques, sufficient conditions for robust stability, stabilization and H∞-control are developed in terms of linear matrix inequalities. Numerical examples are given which illustrate the applicability of the theoretical results.
Year
DOI
Venue
2009
10.1016/j.automatica.2008.05.020
Automatica
Keywords
DocType
Volume
Uncertain impulsive systems,Time-delay,Robust stability,Robust stabilization,H∞-control,Linear matrix inequality (LMI)
Journal
45
Issue
ISSN
Citations 
1
0005-1098
2
PageRank 
References 
Authors
0.39
0
2
Name
Order
Citations
PageRank
Wu-Hua Chen186958.24
Wei Xing Zheng24266274.73