Combined Convex Technique on Delay-Distribution-Dependent Stability for Delayed Neural Networks
Joint Authors
Fei, Shumin
Wang, Ting
Li, Tao
Xue, Mingxiang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Together with the Lyapunov-Krasovskii functional approach and an improved delay-partitioning idea, one novel sufficient condition is derived to guarantee a class of delayed neural networks to be asymptotically stable in the mean-square sense, in which the probabilistic variable delay and both of delay variation limits can be measured.
Through combining the reciprocal convex technique and convex technique one, the criterion is presented via LMIs and its solvability heavily depends on the sizes of both time-delay range and its variations, which can become much less conservative than those present ones by thinning the delay intervals.
Finally, it can be demonstrated by four numerical examples that our idea reduces the conservatism more effectively than some earlier reported ones.
American Psychological Association (APA)
Wang, Ting& Li, Tao& Xue, Mingxiang& Fei, Shumin. 2012. Combined Convex Technique on Delay-Distribution-Dependent Stability for Delayed Neural Networks. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-471277
Modern Language Association (MLA)
Wang, Ting…[et al.]. Combined Convex Technique on Delay-Distribution-Dependent Stability for Delayed Neural Networks. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-471277
American Medical Association (AMA)
Wang, Ting& Li, Tao& Xue, Mingxiang& Fei, Shumin. Combined Convex Technique on Delay-Distribution-Dependent Stability for Delayed Neural Networks. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-471277
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471277