Stochastic stability of linear time-delay system with Markovian jumping parameters

<p>This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the deterministic class of linear systems with time-delay to this class of systems. A delay-independent necessary condition and sufficient cond...

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Main Authors:	Benjelloun K., Boukas E. K.
Format:	Article
Language:	English
Published:	Hindawi Limited 1997-01-01
Series:	Mathematical Problems in Engineering
Subjects:	stochastic stability; Markov process; linear systems with jumping parameters; time-delay
Online Access:	http://www.hindawi.net/access/get.aspx?journal=mpe&volume=3&pii=S1024123X97000525

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spelling	doaj-ce0588763ea446b8ba83c63c7eb304d52020-11-24T23:25:47ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471997-01-0133187201Stochastic stability of linear time-delay system with Markovian jumping parametersBenjelloun K.Boukas E. K.<p>This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the deterministic class of linear systems with time-delay to this class of systems. A delay-independent necessary condition and sufficient conditions for checking the stochastic stability are established. A sufficient condition is also given. Some numerical examples are provided to show the usefulness of the proposed theoretical results.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=3&pii=S1024123X97000525stochastic stability; Markov process; linear systems with jumping parameters; time-delay
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Benjelloun K. Boukas E. K.
spellingShingle	Benjelloun K. Boukas E. K. Stochastic stability of linear time-delay system with Markovian jumping parameters Mathematical Problems in Engineering stochastic stability; Markov process; linear systems with jumping parameters; time-delay
author_facet	Benjelloun K. Boukas E. K.
author_sort	Benjelloun K.
title	Stochastic stability of linear time-delay system with Markovian jumping parameters
title_short	Stochastic stability of linear time-delay system with Markovian jumping parameters
title_full	Stochastic stability of linear time-delay system with Markovian jumping parameters
title_fullStr	Stochastic stability of linear time-delay system with Markovian jumping parameters
title_full_unstemmed	Stochastic stability of linear time-delay system with Markovian jumping parameters
title_sort	stochastic stability of linear time-delay system with markovian jumping parameters
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	1997-01-01
description	<p>This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the deterministic class of linear systems with time-delay to this class of systems. A delay-independent necessary condition and sufficient conditions for checking the stochastic stability are established. A sufficient condition is also given. Some numerical examples are provided to show the usefulness of the proposed theoretical results.</p>
topic	stochastic stability; Markov process; linear systems with jumping parameters; time-delay
url	http://www.hindawi.net/access/get.aspx?journal=mpe&volume=3&pii=S1024123X97000525
work_keys_str_mv	AT benjellounk stochasticstabilityoflineartimedelaysystemwithmarkovianjumpingparameters AT boukasek stochasticstabilityoflineartimedelaysystemwithmarkovianjumpingparameters
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Stochastic stability of linear time-delay system with Markovian jumping parameters

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