LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays

LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays

This paper addresses decentralized exponential stability problem for a class of linear large-scale systems with time-varying delay in interconnection. The time delay is any continuous function belonging to a given interval, but not necessarily differentiable. By constructing a suitable augmented Lya...

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Main Authors: Manlika Rajchakit, Piyapong Niamsup, Grienggrai Rajchakit
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888796866&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52723
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-527232018-09-04T09:31:03Z LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit Mathematics This paper addresses decentralized exponential stability problem for a class of linear large-scale systems with time-varying delay in interconnection. The time delay is any continuous function belonging to a given interval, but not necessarily differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the existence of decentralized exponential stability are established in terms of LMIs. Numerical examples are given to show the effectiveness of the obtained results. ©2013 Rajchakit et al.; licensee Springer. 2018-09-04T09:31:03Z 2018-09-04T09:31:03Z 2013-12-05 Journal 16871847 16871839 2-s2.0-84888796866 10.1186/1687-1847-2013-332 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888796866&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52723
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Manlika Rajchakit
Piyapong Niamsup
Grienggrai Rajchakit
LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
description This paper addresses decentralized exponential stability problem for a class of linear large-scale systems with time-varying delay in interconnection. The time delay is any continuous function belonging to a given interval, but not necessarily differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the existence of decentralized exponential stability are established in terms of LMIs. Numerical examples are given to show the effectiveness of the obtained results. ©2013 Rajchakit et al.; licensee Springer.
format Journal
author Manlika Rajchakit
Piyapong Niamsup
Grienggrai Rajchakit
author_facet Manlika Rajchakit
Piyapong Niamsup
Grienggrai Rajchakit
author_sort Manlika Rajchakit
title LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
title_short LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
title_full LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
title_fullStr LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
title_full_unstemmed LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
title_sort lmi approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888796866&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52723
_version_ 1681424003255762944

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