New Stabilization for Dynamical System with Two Additive Time-Varying Delays

This paper provides a new delay-dependent stabilization criterion for systems with two additive time-varying delays. The novel functional is constructed, a tighter upper bound of the derivative of the Lyapunov functional is obtained. These results have advantages over some existing ones because the...

Descripción completa

Detalles Bibliográficos
Autores principales: Xiong, Lianglin, Yang, Fan, Chen, Xiaozhou
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3948470/
https://www.ncbi.nlm.nih.gov/pubmed/24701159
http://dx.doi.org/10.1155/2014/315817
_version_ 1782306780978610176
author Xiong, Lianglin
Yang, Fan
Chen, Xiaozhou
author_facet Xiong, Lianglin
Yang, Fan
Chen, Xiaozhou
author_sort Xiong, Lianglin
collection PubMed
description This paper provides a new delay-dependent stabilization criterion for systems with two additive time-varying delays. The novel functional is constructed, a tighter upper bound of the derivative of the Lyapunov functional is obtained. These results have advantages over some existing ones because the combination of the delay decomposition technique and the reciprocally convex approach. Two examples are provided to demonstrate the less conservatism and effectiveness of the results in this paper.
format Online
Article
Text
id pubmed-3948470
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-39484702014-04-03 New Stabilization for Dynamical System with Two Additive Time-Varying Delays Xiong, Lianglin Yang, Fan Chen, Xiaozhou ScientificWorldJournal Research Article This paper provides a new delay-dependent stabilization criterion for systems with two additive time-varying delays. The novel functional is constructed, a tighter upper bound of the derivative of the Lyapunov functional is obtained. These results have advantages over some existing ones because the combination of the delay decomposition technique and the reciprocally convex approach. Two examples are provided to demonstrate the less conservatism and effectiveness of the results in this paper. Hindawi Publishing Corporation 2014-02-18 /pmc/articles/PMC3948470/ /pubmed/24701159 http://dx.doi.org/10.1155/2014/315817 Text en Copyright © 2014 Lianglin Xiong et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Xiong, Lianglin
Yang, Fan
Chen, Xiaozhou
New Stabilization for Dynamical System with Two Additive Time-Varying Delays
title New Stabilization for Dynamical System with Two Additive Time-Varying Delays
title_full New Stabilization for Dynamical System with Two Additive Time-Varying Delays
title_fullStr New Stabilization for Dynamical System with Two Additive Time-Varying Delays
title_full_unstemmed New Stabilization for Dynamical System with Two Additive Time-Varying Delays
title_short New Stabilization for Dynamical System with Two Additive Time-Varying Delays
title_sort new stabilization for dynamical system with two additive time-varying delays
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3948470/
https://www.ncbi.nlm.nih.gov/pubmed/24701159
http://dx.doi.org/10.1155/2014/315817
work_keys_str_mv AT xionglianglin newstabilizationfordynamicalsystemwithtwoadditivetimevaryingdelays
AT yangfan newstabilizationfordynamicalsystemwithtwoadditivetimevaryingdelays
AT chenxiaozhou newstabilizationfordynamicalsystemwithtwoadditivetimevaryingdelays

Ejemplares similares