On finite-time stability of linear positive differential-algebraic delay equations

IEEE This paper addresses finite-time stability of linear positive differential-algebraic equations with delay. Being different from the Lyapunov function method, delay-dependent sufficient conditions for positivity and finite-time stability of the system are established in terms of standard linear...

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Main Authors:	Nguyen H. Sau, Vu N. Phat, P. Niamsup
Format:	Journal
Published:	2018
Subjects:	Engineering
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041004527&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58699
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-58699
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spelling	th-cmuir.6653943832-586992018-09-05T04:28:51Z On finite-time stability of linear positive differential-algebraic delay equations Nguyen H. Sau Vu N. Phat P. Niamsup Engineering IEEE This paper addresses finite-time stability of linear positive differential-algebraic equations with delay. Being different from the Lyapunov function method, delay-dependent sufficient conditions for positivity and finite-time stability of the system are established in terms of standard linear programming problems. A numerical example is given to illustrate the obtained results. 2018-09-05T04:28:51Z 2018-09-05T04:28:51Z 2018-01-22 Journal 15497747 2-s2.0-85041004527 10.1109/TCSII.2018.2796568 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041004527&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58699
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Engineering
spellingShingle	Engineering Nguyen H. Sau Vu N. Phat P. Niamsup On finite-time stability of linear positive differential-algebraic delay equations
description	IEEE This paper addresses finite-time stability of linear positive differential-algebraic equations with delay. Being different from the Lyapunov function method, delay-dependent sufficient conditions for positivity and finite-time stability of the system are established in terms of standard linear programming problems. A numerical example is given to illustrate the obtained results.
format	Journal
author	Nguyen H. Sau Vu N. Phat P. Niamsup
author_facet	Nguyen H. Sau Vu N. Phat P. Niamsup
author_sort	Nguyen H. Sau
title	On finite-time stability of linear positive differential-algebraic delay equations
title_short	On finite-time stability of linear positive differential-algebraic delay equations
title_full	On finite-time stability of linear positive differential-algebraic delay equations
title_fullStr	On finite-time stability of linear positive differential-algebraic delay equations
title_full_unstemmed	On finite-time stability of linear positive differential-algebraic delay equations
title_sort	on finite-time stability of linear positive differential-algebraic delay equations
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041004527&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58699
_version_	1681425114275512320

On finite-time stability of linear positive differential-algebraic delay equations

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