RAZUMIKHIN-TYPE STABILITY THEOREMS FOR IMPULSIVE DISCRETE SYSTEMS WITH TIME DELAY

TitleRAZUMIKHIN-TYPE STABILITY THEOREMS FOR IMPULSIVE DISCRETE SYSTEMS WITH TIME DELAY
Publication TypeJournal Article
Year of Publication2015
AuthorsZHANG ZHIGANG, LIU XINZHI
JournalDynamic Systems and Applications
Volume24
Start Page51
Pagination16
Date Published2015
ISSN1056-2176
AMS Subject Classification39A10
Abstract

This paper studies impulsive discrete systems with time delay. Several criteria on uniform stability and uniform asymptotic stability are established by utilizing the Razumikhin technique. Both linear and nonlinear impulsive discrete systems with time delay are investigated. These stability criteria show that impulses can be used to stabilize a unstable system. Some numerical examples are presented to illustrate the stability criteria.
PDFhttps://acadsol.eu/dsa/articles/24/04-dsa-51-66.pdf
Refereed DesignationRefereed