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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1997-01-01
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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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1725556031755386880 |