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On Delay-Range-Dependent Stochastic Stability Conditions of Uncertain Neutral Delay Markovian Jump Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The delay-range-dependent stochastic stability for uncertain neutral Markovian jump systems with interval time-varying delays is studied in this paper.
The uncertainties under consideration are assumed to be time varying but norm bounded.
To begin with the nominal systems, a novel augmented Lyapunov functional which contains some triple-integral terms is introduced.
Then, by employing some integral inequalities and the nature of convex combination, some less conservative stochastic stability conditions are presented in terms of linear matrix inequalities without introducing any free-weighting matrices.
Finally, numerical examples are provided to demonstrate the effectiveness and to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.
American Psychological Association (APA)
Liu, Xinghua& Xi, Hong-sheng. 2013. On Delay-Range-Dependent Stochastic Stability Conditions of Uncertain Neutral Delay Markovian Jump Systems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-446377
Modern Language Association (MLA)
Liu, Xinghua& Xi, Hong-sheng. On Delay-Range-Dependent Stochastic Stability Conditions of Uncertain Neutral Delay Markovian Jump Systems. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-446377
American Medical Association (AMA)
Liu, Xinghua& Xi, Hong-sheng. On Delay-Range-Dependent Stochastic Stability Conditions of Uncertain Neutral Delay Markovian Jump Systems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-446377
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446377