Exponential stability of certain neutral differential equations

The neutral equation is a special case of the neutral system. In this paper we purpose new stability criteria for the neutral equation. Lyapunov functions, descriptor form and a model transformation techniques are used to guarantee exponentially stable of the neutral equation. Two examples are given...

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Main Authors:	Thaned Rojsiraphisal, Piyapong Niamsup
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78649999949&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50970
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-509702018-09-04T04:49:08Z Exponential stability of certain neutral differential equations Thaned Rojsiraphisal Piyapong Niamsup Mathematics The neutral equation is a special case of the neutral system. In this paper we purpose new stability criteria for the neutral equation. Lyapunov functions, descriptor form and a model transformation techniques are used to guarantee exponentially stable of the neutral equation. Two examples are given to show advantage of our new criteria. © 2010 Elsevier Inc. All rights reserved. 2018-09-04T04:49:08Z 2018-09-04T04:49:08Z 2010-12-15 Journal 00963003 2-s2.0-78649999949 10.1016/j.amc.2010.09.047 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78649999949&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50970
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Thaned Rojsiraphisal Piyapong Niamsup Exponential stability of certain neutral differential equations
description	The neutral equation is a special case of the neutral system. In this paper we purpose new stability criteria for the neutral equation. Lyapunov functions, descriptor form and a model transformation techniques are used to guarantee exponentially stable of the neutral equation. Two examples are given to show advantage of our new criteria. © 2010 Elsevier Inc. All rights reserved.
format	Journal
author	Thaned Rojsiraphisal Piyapong Niamsup
author_facet	Thaned Rojsiraphisal Piyapong Niamsup
author_sort	Thaned Rojsiraphisal
title	Exponential stability of certain neutral differential equations
title_short	Exponential stability of certain neutral differential equations
title_full	Exponential stability of certain neutral differential equations
title_fullStr	Exponential stability of certain neutral differential equations
title_full_unstemmed	Exponential stability of certain neutral differential equations
title_sort	exponential stability of certain neutral differential equations
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78649999949&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50970
_version_	1681423685440765952

Exponential stability of certain neutral differential equations

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