Exponentially practical stability of discrete time singular system with delay and disturbance

© 2018, The Author(s). In this paper, we consider exponentially practical stability of a discrete time singular system with disturbance. By using Lyapunov–Krasovskii stability theory, some criteria for exponentially practical stability of such a system are derived. Moreover, by using a Razumikhin-ty...

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Main Authors:	S. Wangrat, P. Niamsup
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85045334942&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58792
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-58792
record_format	dspace
spelling	th-cmuir.6653943832-587922018-09-05T04:32:22Z Exponentially practical stability of discrete time singular system with delay and disturbance S. Wangrat P. Niamsup Mathematics © 2018, The Author(s). In this paper, we consider exponentially practical stability of a discrete time singular system with disturbance. By using Lyapunov–Krasovskii stability theory, some criteria for exponentially practical stability of such a system are derived. Moreover, by using a Razumikhin-type technique, the criteria for exponentially practical stability of a discrete time singular system with delay and disturbance are also obtained. Some numerical examples are given to show the success of our theoretical results. 2018-09-05T04:32:22Z 2018-09-05T04:32:22Z 2018-12-01 Journal 16871847 16871839 2-s2.0-85045334942 10.1186/s13662-018-1570-6 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85045334942&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58792
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics S. Wangrat P. Niamsup Exponentially practical stability of discrete time singular system with delay and disturbance
description	© 2018, The Author(s). In this paper, we consider exponentially practical stability of a discrete time singular system with disturbance. By using Lyapunov–Krasovskii stability theory, some criteria for exponentially practical stability of such a system are derived. Moreover, by using a Razumikhin-type technique, the criteria for exponentially practical stability of a discrete time singular system with delay and disturbance are also obtained. Some numerical examples are given to show the success of our theoretical results.
format	Journal
author	S. Wangrat P. Niamsup
author_facet	S. Wangrat P. Niamsup
author_sort	S. Wangrat
title	Exponentially practical stability of discrete time singular system with delay and disturbance
title_short	Exponentially practical stability of discrete time singular system with delay and disturbance
title_full	Exponentially practical stability of discrete time singular system with delay and disturbance
title_fullStr	Exponentially practical stability of discrete time singular system with delay and disturbance
title_full_unstemmed	Exponentially practical stability of discrete time singular system with delay and disturbance
title_sort	exponentially practical stability of discrete time singular system with delay and disturbance
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85045334942&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58792
_version_	1681425131648319488

Exponentially practical stability of discrete time singular system with delay and disturbance

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