Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays

This paper studies impulsive control systems with finite and infinite delays. Several stability criteria are established by employing the largest and smallest eigenvalue of matrix. Our sufficient conditions are less restrictive than the ones in the earlier literature. Moreover, it is shown that by u...

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Detalles Bibliográficos
Autores principales: Wang, Xuling, Li, Xiaodi, Stamov, Gani Tr.
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/PMC3958748/
https://www.ncbi.nlm.nih.gov/pubmed/24723839
http://dx.doi.org/10.1155/2014/932395
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author Wang, Xuling
Li, Xiaodi
Stamov, Gani Tr.
author_facet Wang, Xuling
Li, Xiaodi
Stamov, Gani Tr.
author_sort Wang, Xuling
collection PubMed
description This paper studies impulsive control systems with finite and infinite delays. Several stability criteria are established by employing the largest and smallest eigenvalue of matrix. Our sufficient conditions are less restrictive than the ones in the earlier literature. Moreover, it is shown that by using impulsive control, the delay systems can be stabilized even if it contains no stable matrix. Finally, some numerical examples are discussed to illustrate the theoretical results.
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spelling pubmed-39587482014-04-10 Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays Wang, Xuling Li, Xiaodi Stamov, Gani Tr. ScientificWorldJournal Research Article This paper studies impulsive control systems with finite and infinite delays. Several stability criteria are established by employing the largest and smallest eigenvalue of matrix. Our sufficient conditions are less restrictive than the ones in the earlier literature. Moreover, it is shown that by using impulsive control, the delay systems can be stabilized even if it contains no stable matrix. Finally, some numerical examples are discussed to illustrate the theoretical results. Hindawi Publishing Corporation 2014-02-27 /pmc/articles/PMC3958748/ /pubmed/24723839 http://dx.doi.org/10.1155/2014/932395 Text en Copyright © 2014 Xuling Wang 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
Wang, Xuling
Li, Xiaodi
Stamov, Gani Tr.
Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays
title Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays
title_full Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays
title_fullStr Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays
title_full_unstemmed Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays
title_short Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays
title_sort stability analysis of impulsive control systems with finite and infinite delays
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3958748/
https://www.ncbi.nlm.nih.gov/pubmed/24723839
http://dx.doi.org/10.1155/2014/932395
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AT lixiaodi stabilityanalysisofimpulsivecontrolsystemswithfiniteandinfinitedelays
AT stamovganitr stabilityanalysisofimpulsivecontrolsystemswithfiniteandinfinitedelays

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