Paper Info
Title
Stabilization of discrete-time switched linear systems with time-varying delays via nearly-periodic impulsive control
Abstract
In this work, impulsive stabilization problems of discrete-time switched linear systems with time-varying delays are studied. The sequence of impulsive instants is nearly-periodic, i.e., it is close to a periodic impulse and the distance between them is an uncertain bounded term. A time-varying Lyapunov function is introduced to characterize the information of delays, switching signals and impulses, and a stability criterion LMI-based is obtained without any restrictions on the stability of the subsystems. Several design schemes of reduced-order/full-order impulsive controllers with or without time-varying delays are developed. Finally, three numerical examples are provided to illustrate the effectiveness of the established results.
Year
DOI
Venue
2019
10.1016/j.jfranklin.2019.07.003
Journal of the Franklin Institute
Field
DocType
Volume
Lyapunov function,Stability criterion,Linear system,Control theory,Impulse (physics),Discrete time and continuous time,Periodic graph (geometry),Mathematics,Bounded function
Journal
356
Issue
ISSN
Citations 
16
0016-0032
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Linna Wei100.68
Wu-Hua Chen286958.24
Shixian Luo3575.55