Exponentially practical stability of impulsive discrete time system with delay

© 2016, Wangrat and Niamsup. In this paper we investigate an impulsive discrete time system with delay. By using Lyapunov stability theory and a Razumikhin type technique, some new criteria for the exponentially practical stability of impulsive discrete time system with delay are established. A nume...

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Main Authors:	Sirilak Wangrat, Piyapong Niamsup
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994052114&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55932
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55932
record_format	dspace
spelling	th-cmuir.6653943832-559322018-09-05T03:06:01Z Exponentially practical stability of impulsive discrete time system with delay Sirilak Wangrat Piyapong Niamsup Mathematics © 2016, Wangrat and Niamsup. In this paper we investigate an impulsive discrete time system with delay. By using Lyapunov stability theory and a Razumikhin type technique, some new criteria for the exponentially practical stability of impulsive discrete time system with delay are established. A numerical example is given to show the effectiveness of our theoretical results. 2018-09-05T03:06:01Z 2018-09-05T03:06:01Z 2016-12-01 Journal 16871847 16871839 2-s2.0-84994052114 10.1186/s13662-016-1005-1 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994052114&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55932
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Sirilak Wangrat Piyapong Niamsup Exponentially practical stability of impulsive discrete time system with delay
description	© 2016, Wangrat and Niamsup. In this paper we investigate an impulsive discrete time system with delay. By using Lyapunov stability theory and a Razumikhin type technique, some new criteria for the exponentially practical stability of impulsive discrete time system with delay are established. A numerical example is given to show the effectiveness of our theoretical results.
format	Journal
author	Sirilak Wangrat Piyapong Niamsup
author_facet	Sirilak Wangrat Piyapong Niamsup
author_sort	Sirilak Wangrat
title	Exponentially practical stability of impulsive discrete time system with delay
title_short	Exponentially practical stability of impulsive discrete time system with delay
title_full	Exponentially practical stability of impulsive discrete time system with delay
title_fullStr	Exponentially practical stability of impulsive discrete time system with delay
title_full_unstemmed	Exponentially practical stability of impulsive discrete time system with delay
title_sort	exponentially practical stability of impulsive discrete time system with delay
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84994052114&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55932
_version_	1681424597643165696

Exponentially practical stability of impulsive discrete time system with delay

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