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Delay-Dependent Exponential Stability for Uncertain Neutral Stochastic Systems with Mixed Delays and Markovian Jumping Parameters
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-27
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
This paper is mainly concerned with the globally exponential stability in mean square of uncertain neutral stochastic systems with mixed delays and Markovian jumping parameters.
The mixed delays are comprised of the discrete interval time-varying delays and the distributed time delays.
Taking the stochastic perturbation and Markovian jumping parameters into account, some delay-dependent sufficient conditions for the globally exponential stability in mean square of such systems can be obtained by constructing an appropriate Lyapunov-Krasovskii functional, which are given in the form of linear matrix inequalities (LMIs).
The derived criteria are dependent on the upper bound and the lower bound of the time-varying delay and the distributed delay and are therefore less conservative.
Two numerical examples are given to illustrate the effectiveness and applicability of our obtained results.
American Psychological Association (APA)
Chen, Huabin. 2012. Delay-Dependent Exponential Stability for Uncertain Neutral Stochastic Systems with Mixed Delays and Markovian Jumping Parameters. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-495565
Modern Language Association (MLA)
Chen, Huabin. Delay-Dependent Exponential Stability for Uncertain Neutral Stochastic Systems with Mixed Delays and Markovian Jumping Parameters. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-495565
American Medical Association (AMA)
Chen, Huabin. Delay-Dependent Exponential Stability for Uncertain Neutral Stochastic Systems with Mixed Delays and Markovian Jumping Parameters. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-495565
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495565