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Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates
Joint Authors
Qiu, Jie
Zhou, Xiaobing
Xiong, Lianglin
Lei, Jing
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-24
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent.
By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is firstly established.
Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered.
Finally, to show the validity of the obtained results, three numerical examples are provided.
American Psychological Association (APA)
Xiong, Lianglin& Zhou, Xiaobing& Qiu, Jie& Lei, Jing. 2012. Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-472504
Modern Language Association (MLA)
Xiong, Lianglin…[et al.]. Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates. Abstract and Applied Analysis No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-472504
American Medical Association (AMA)
Xiong, Lianglin& Zhou, Xiaobing& Qiu, Jie& Lei, Jing. Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-472504
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472504