Positivity and stability analysis for linear implicit difference delay equations

© 2016 Elsevier Inc. This paper deals with positivity and stability of linear implicit difference delay equations. Being different from the Lyapunov function approach commonly used in stability analysis, the method employed in this paper gives a way to solve the exponential stability of linear impli...

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Main Authors:	Nguyen H. Sau, P. Niamsup, Vu N. Phat
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84982161537&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55934
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55934
record_format	dspace
spelling	th-cmuir.6653943832-559342018-09-05T03:06:02Z Positivity and stability analysis for linear implicit difference delay equations Nguyen H. Sau P. Niamsup Vu N. Phat Mathematics © 2016 Elsevier Inc. This paper deals with positivity and stability of linear implicit difference delay equations. Being different from the Lyapunov function approach commonly used in stability analysis, the method employed in this paper gives a way to solve the exponential stability of linear implicit difference equations with time-varying delay. By decomposition state-space and mathematical induction method, new necessary and sufficient conditions for positivity and stability of such systems are derived. Numerical examples are given to illustrate the proposed results. 2018-09-05T03:06:02Z 2018-09-05T03:06:02Z 2016-12-01 Journal 00243795 2-s2.0-84982161537 10.1016/j.laa.2016.08.012 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84982161537&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55934
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Nguyen H. Sau P. Niamsup Vu N. Phat Positivity and stability analysis for linear implicit difference delay equations
description	© 2016 Elsevier Inc. This paper deals with positivity and stability of linear implicit difference delay equations. Being different from the Lyapunov function approach commonly used in stability analysis, the method employed in this paper gives a way to solve the exponential stability of linear implicit difference equations with time-varying delay. By decomposition state-space and mathematical induction method, new necessary and sufficient conditions for positivity and stability of such systems are derived. Numerical examples are given to illustrate the proposed results.
format	Journal
author	Nguyen H. Sau P. Niamsup Vu N. Phat
author_facet	Nguyen H. Sau P. Niamsup Vu N. Phat
author_sort	Nguyen H. Sau
title	Positivity and stability analysis for linear implicit difference delay equations
title_short	Positivity and stability analysis for linear implicit difference delay equations
title_full	Positivity and stability analysis for linear implicit difference delay equations
title_fullStr	Positivity and stability analysis for linear implicit difference delay equations
title_full_unstemmed	Positivity and stability analysis for linear implicit difference delay equations
title_sort	positivity and stability analysis for linear implicit difference delay equations
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84982161537&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55934
_version_	1681424598007021568

Positivity and stability analysis for linear implicit difference delay equations

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