Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities
Joint Authors
Zhao, Xin-Gang
Fan, Quan-Yong
Yang, Guang-Hong
Ye, Dan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with delay-dependent stochastic stability for time-delay Markovian jump systems (MJSs) with sector-bounded nonlinearities and more general transition probabilities.
Different from the previous results where the transition probability matrix is completely known, a more general transition probability matrix is considered which includes completely known elements, boundary known elements, and completely unknown ones.
In order to get less conservative criterion, the state and transition probability information is used as much as possible to construct the Lyapunov-Krasovskii functional and deal with stability analysis.
The delay-dependent sufficient conditions are derived in terms of linear matrix inequalities to guarantee the stability of systems.
Finally, numerical examples are exploited to demonstrate the effectiveness of the proposed method.
American Psychological Association (APA)
Ye, Dan& Fan, Quan-Yong& Zhao, Xin-Gang& Yang, Guang-Hong. 2013. Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031740
Modern Language Association (MLA)
Ye, Dan…[et al.]. Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1031740
American Medical Association (AMA)
Ye, Dan& Fan, Quan-Yong& Zhao, Xin-Gang& Yang, Guang-Hong. Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031740
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031740