A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays

A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays

© 2019 by the authors. This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov-Krasovkii functional, descriptor model transforma...

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Main Authors: Janejira Tranthi, Thongchai Botmart, Wajaree Weera, Piyapong Niamsup
Format: Journal
Published: 2019
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071152237&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66694
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-666942019-09-16T12:55:10Z A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays Janejira Tranthi Thongchai Botmart Wajaree Weera Piyapong Niamsup Mathematics © 2019 by the authors. This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov-Krasovkii functional, descriptor model transformation, utilization of the Newton-Leibniz formula, and the zero equation, the criteria for exponential stability are in the form of linear matrix inequalities (LMIs). Finally, we present the effectiveness of the theoretical results in numerical examples to show less conservative conditions than the others in the literature. 2019-09-16T12:55:10Z 2019-09-16T12:55:10Z 2019-08-01 Journal 22277390 2-s2.0-85071152237 10.3390/math7080737 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071152237&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/66694
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Janejira Tranthi
Thongchai Botmart
Wajaree Weera
Piyapong Niamsup
A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays
description © 2019 by the authors. This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov-Krasovkii functional, descriptor model transformation, utilization of the Newton-Leibniz formula, and the zero equation, the criteria for exponential stability are in the form of linear matrix inequalities (LMIs). Finally, we present the effectiveness of the theoretical results in numerical examples to show less conservative conditions than the others in the literature.
format Journal
author Janejira Tranthi
Thongchai Botmart
Wajaree Weera
Piyapong Niamsup
author_facet Janejira Tranthi
Thongchai Botmart
Wajaree Weera
Piyapong Niamsup
author_sort Janejira Tranthi
title A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays
title_short A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays
title_full A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays
title_fullStr A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays
title_full_unstemmed A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays
title_sort new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071152237&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66694
_version_ 1681426502982303744

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