An improved finite-time stability and stabilization of linear system with constant delay

© 2014 Thaned Rojsiraphisal and Jirapong Puangmalai. Practical systems in engineering fields often require that values of state variables, during the finite-time interval, must not exceed a certain value when the initial values of state are given. This leads us to investigate the finite-time stabili...

Full description

Saved in:
Bibliographic Details
Main Authors: Rojsiraphisal,T., Puangmalai,J.
Format: Article
Published: Hindawi Publishing Corporation 2015
Subjects:
Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84921318185&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38857
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
id th-cmuir.6653943832-38857
record_format dspace
spelling th-cmuir.6653943832-388572015-06-16T07:54:25Z An improved finite-time stability and stabilization of linear system with constant delay Rojsiraphisal,T. Puangmalai,J. Mathematics (all) Engineering (all) © 2014 Thaned Rojsiraphisal and Jirapong Puangmalai. Practical systems in engineering fields often require that values of state variables, during the finite-time interval, must not exceed a certain value when the initial values of state are given. This leads us to investigate the finite-time stability and stabilization of a linear system with a constant time-delay. Sufficient conditions to guarantee the finite-time stability and stabilization are derived by using a new form of Lyapunov-Krasovskii functional and a desired state-feedback controller. These conditions are in the form of LMIs and inequalities. Two numerical examples are given to show the effectiveness of the proposed criteria. Results show that our proposed criteria are less conservative than previous works in terms of versatility of minimum bounds and larger bounds of time-delay. 2015-06-16T07:54:25Z 2015-06-16T07:54:25Z 2014-12-28 Article 1024123X 2-s2.0-84921318185 10.1155/2014/154769 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84921318185&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38857 Hindawi Publishing Corporation
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics (all)
Engineering (all)
spellingShingle Mathematics (all)
Engineering (all)
Rojsiraphisal,T.
Puangmalai,J.
An improved finite-time stability and stabilization of linear system with constant delay
description © 2014 Thaned Rojsiraphisal and Jirapong Puangmalai. Practical systems in engineering fields often require that values of state variables, during the finite-time interval, must not exceed a certain value when the initial values of state are given. This leads us to investigate the finite-time stability and stabilization of a linear system with a constant time-delay. Sufficient conditions to guarantee the finite-time stability and stabilization are derived by using a new form of Lyapunov-Krasovskii functional and a desired state-feedback controller. These conditions are in the form of LMIs and inequalities. Two numerical examples are given to show the effectiveness of the proposed criteria. Results show that our proposed criteria are less conservative than previous works in terms of versatility of minimum bounds and larger bounds of time-delay.
format Article
author Rojsiraphisal,T.
Puangmalai,J.
author_facet Rojsiraphisal,T.
Puangmalai,J.
author_sort Rojsiraphisal,T.
title An improved finite-time stability and stabilization of linear system with constant delay
title_short An improved finite-time stability and stabilization of linear system with constant delay
title_full An improved finite-time stability and stabilization of linear system with constant delay
title_fullStr An improved finite-time stability and stabilization of linear system with constant delay
title_full_unstemmed An improved finite-time stability and stabilization of linear system with constant delay
title_sort improved finite-time stability and stabilization of linear system with constant delay
publisher Hindawi Publishing Corporation
publishDate 2015
url http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84921318185&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38857
_version_ 1681421549475725312