Design of robust controller for linear systems with Markovian jumping parameters

Design of robust controller for linear systems with Markovian jumping parameters

<p>This paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system&#39;s...

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Main Authors: Benjelloun K., Boukas E. K., Costa O. L. V., Shi P.
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Mathematical Problems in Engineering
Subjects:
Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties
Online Access:http://www.hindawi.net/access/get.aspx?journal=mpe&volume=4&pii=S1024123X98000830
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spelling doaj-1ce96b0812d24703be21a5e180a493032020-11-24T23:48:07ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471998-01-0144269288Design of robust controller for linear systems with Markovian jumping parametersBenjelloun K.Boukas E. K.Costa O. L. V.Shi P.<p>This paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system&#39;s state and its modes, a sufficient condition for stochastic stabilizability of this class of systems is established. An example is provided to demonstrate the usefulness of the proposed theoretical results.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=4&pii=S1024123X98000830Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties
collection DOAJ
language English
format Article
sources DOAJ
author Benjelloun K.
Boukas E. K.
Costa O. L. V.
Shi P.
spellingShingle Benjelloun K.
Boukas E. K.
Costa O. L. V.
Shi P.
Design of robust controller for linear systems with Markovian jumping parameters
Mathematical Problems in Engineering
Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties
author_facet Benjelloun K.
Boukas E. K.
Costa O. L. V.
Shi P.
author_sort Benjelloun K.
title Design of robust controller for linear systems with Markovian jumping parameters
title_short Design of robust controller for linear systems with Markovian jumping parameters
title_full Design of robust controller for linear systems with Markovian jumping parameters
title_fullStr Design of robust controller for linear systems with Markovian jumping parameters
title_full_unstemmed Design of robust controller for linear systems with Markovian jumping parameters
title_sort design of robust controller for linear systems with markovian jumping parameters
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 1998-01-01
description <p>This paper deals with the robustness of the class of uncertain linear systems with Markovian jumping parameters (ULSMJP). The uncertainty is taken to be time-varying norm bounded. Under the assumptions of the boundedness of the uncertainties and the complete access to the system&#39;s state and its modes, a sufficient condition for stochastic stabilizability of this class of systems is established. An example is provided to demonstrate the usefulness of the proposed theoretical results.</p>
topic Linear systems with Markovian jumping parameters; Stochastic stability; Markov process; Norm bounded uncertainties
url http://www.hindawi.net/access/get.aspx?journal=mpe&volume=4&pii=S1024123X98000830
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AT costaolv designofrobustcontrollerforlinearsystemswithmarkovianjumpingparameters
AT ship designofrobustcontrollerforlinearsystemswithmarkovianjumpingparameters
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