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...

Full description

Saved in:
Bibliographic Details
Main Authors: Manlika Rajchakit, Piyapong Niamsup, Grienggrai Rajchakit
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888796866&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47373
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
id th-cmuir.6653943832-47373
record_format dspace
spelling th-cmuir.6653943832-473732018-04-25T08:39:19Z LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit 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. 2018-04-25T08:39:19Z 2018-04-25T08:39:19Z 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/6653943832/47373
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
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
spellingShingle Manlika Rajchakit
Piyapong Niamsup
Grienggrai Rajchakit
LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
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/6653943832/47373
_version_ 1681423048840839168

Similar Items