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Stabilization of Stochastic Markovian Jump Systems with Partially Unknown Transition Probabilities and Multiplicative Noise
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-20
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We are concerned with the problems of stability and stabilization for stochastic Markovian jump systems subject to partially unknown transition probabilities and multiplicative noise, including the continuous- and discrete-time cases.
Sufficient conditions guaranteeing systems considered to be asymptotically stable in the mean square are presented in the form of LMIs.
Furthermore, the desired state feedback controllers are designed.
It is shown that, by introducing the free-weighing matrix method, the results we have obtained not only are less conservative than the existing ones but also can be regarded as extensions of the corresponding results of Markovian jump systems without noise.
Numerical examples are finally provided to illustrate the effectiveness of the proposed theoretical results.
American Psychological Association (APA)
Zhao, Yong& Fu, You. 2017. Stabilization of Stochastic Markovian Jump Systems with Partially Unknown Transition Probabilities and Multiplicative Noise. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191269
Modern Language Association (MLA)
Zhao, Yong& Fu, You. Stabilization of Stochastic Markovian Jump Systems with Partially Unknown Transition Probabilities and Multiplicative Noise. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1191269
American Medical Association (AMA)
Zhao, Yong& Fu, You. Stabilization of Stochastic Markovian Jump Systems with Partially Unknown Transition Probabilities and Multiplicative Noise. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191269
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191269