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: Rajchakit M., Niamsup P., Rajchakit G.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-84888796866&partnerID=40&md5=def359e2a71b4a8a58215447c39c8bc4
http://cmuir.cmu.ac.th/handle/6653943832/7229
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
Language: English
id th-cmuir.6653943832-7229
record_format dspace
spelling th-cmuir.6653943832-72292014-08-30T03:51:43Z LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays Rajchakit M. Niamsup P. Rajchakit G. 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. 2014-08-30T03:51:43Z 2014-08-30T03:51:43Z 2013 Article 16871839 10.1186/1687-1847-2013-332 http://www.scopus.com/inward/record.url?eid=2-s2.0-84888796866&partnerID=40&md5=def359e2a71b4a8a58215447c39c8bc4 http://cmuir.cmu.ac.th/handle/6653943832/7229 English
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
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 Article
author Rajchakit M.
Niamsup P.
Rajchakit G.
spellingShingle Rajchakit M.
Niamsup P.
Rajchakit G.
LMI approach to decentralized exponential stability of linear large-scale systems with interval non-differentiable time-varying delays
author_facet Rajchakit M.
Niamsup P.
Rajchakit G.
author_sort Rajchakit M.
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 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-84888796866&partnerID=40&md5=def359e2a71b4a8a58215447c39c8bc4
http://cmuir.cmu.ac.th/handle/6653943832/7229
_version_ 1681420761388023808

Similar Items