Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality
© 2019 International Association for Mathematics and Computers in Simulation (IMACS) In this article, a new integral inequality based on a free-matrix for bounding the integral ∫abẋT(u)Rẋ(u)du has been proposed. The new inequality and appropriated Lyapunov–Krasovskii functional play key roles for de...
Saved in:
Main Authors: | , , |
---|---|
Format: | Journal |
Published: |
2019
|
Subjects: | |
Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068449651&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65554 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Chiang Mai University |
id |
th-cmuir.6653943832-65554 |
---|---|
record_format |
dspace |
spelling |
th-cmuir.6653943832-655542019-08-05T04:39:48Z Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality Jirapong Puangmalai Jakkrapong Tongkum Thaned Rojsiraphisal Computer Science Mathematics © 2019 International Association for Mathematics and Computers in Simulation (IMACS) In this article, a new integral inequality based on a free-matrix for bounding the integral ∫abẋT(u)Rẋ(u)du has been proposed. The new inequality and appropriated Lyapunov–Krasovskii functional play key roles for deriving finite-time stability criteria of linear systems with constant and continuous non-differentiable time-varying delays. The new sufficient finite-time stability conditions have been proposed in the forms of inequalities and linear matrix inequalities. In addition, we apply the same procedure as done for deriving finite-time stable criteria but using Wirtinger-based inequality instead of our new inequality and compare these criteria with other works. At the end, two numerical examples are presented to show that the proposed criteria are practicable for linear systems with non-differentiable delay. Criteria using proposed integral inequality yield better results than the other works for linear system with constant delay. However, results using Wirtinger inequality are less conservative when time-varying delay is considered. 2019-08-05T04:35:15Z 2019-08-05T04:35:15Z 2019-01-01 Journal 03784754 2-s2.0-85068449651 10.1016/j.matcom.2019.06.013 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068449651&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65554 |
institution |
Chiang Mai University |
building |
Chiang Mai University Library |
country |
Thailand |
collection |
CMU Intellectual Repository |
topic |
Computer Science Mathematics |
spellingShingle |
Computer Science Mathematics Jirapong Puangmalai Jakkrapong Tongkum Thaned Rojsiraphisal Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality |
description |
© 2019 International Association for Mathematics and Computers in Simulation (IMACS) In this article, a new integral inequality based on a free-matrix for bounding the integral ∫abẋT(u)Rẋ(u)du has been proposed. The new inequality and appropriated Lyapunov–Krasovskii functional play key roles for deriving finite-time stability criteria of linear systems with constant and continuous non-differentiable time-varying delays. The new sufficient finite-time stability conditions have been proposed in the forms of inequalities and linear matrix inequalities. In addition, we apply the same procedure as done for deriving finite-time stable criteria but using Wirtinger-based inequality instead of our new inequality and compare these criteria with other works. At the end, two numerical examples are presented to show that the proposed criteria are practicable for linear systems with non-differentiable delay. Criteria using proposed integral inequality yield better results than the other works for linear system with constant delay. However, results using Wirtinger inequality are less conservative when time-varying delay is considered. |
format |
Journal |
author |
Jirapong Puangmalai Jakkrapong Tongkum Thaned Rojsiraphisal |
author_facet |
Jirapong Puangmalai Jakkrapong Tongkum Thaned Rojsiraphisal |
author_sort |
Jirapong Puangmalai |
title |
Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality |
title_short |
Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality |
title_full |
Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality |
title_fullStr |
Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality |
title_full_unstemmed |
Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality |
title_sort |
finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality |
publishDate |
2019 |
url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068449651&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65554 |
_version_ |
1681426290534514688 |