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Stability Analysis for Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-11
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The problem of exponential stability for the uncertain neutral Markovian jump systems with interval time-varying delays and nonlinear perturbations is investigated in this paper.
This study starts from the corresponding nominal systems with known and partially unknown transition rates, respectively.
By constructing a novel augmented Lyapunov functional which contains triple-integral terms and fully utilizes the bound of the delay, the delay-range-dependent and rate-dependent exponential stability criteria are developed by the Lyapunov theory, reciprocally convex lemma, and free weighting matrices.
Then, the results about nominal systems are extended to the uncertain case.
Finally, numerical examples are given to demonstrate the effectiveness of the proposed methods.
American Psychological Association (APA)
Liu, Xinghua& Xi, Hong-sheng. 2013. Stability Analysis for Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-20.
https://search.emarefa.net/detail/BIM-483425
Modern Language Association (MLA)
Liu, Xinghua& Xi, Hong-sheng. Stability Analysis for Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates. Advances in Mathematical Physics No. 2013 (2013), pp.1-20.
https://search.emarefa.net/detail/BIM-483425
American Medical Association (AMA)
Liu, Xinghua& Xi, Hong-sheng. Stability Analysis for Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-20.
https://search.emarefa.net/detail/BIM-483425
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483425