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Stochastic Dynamics of Nonautonomous Cohen-Grossberg Neural Networks
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-29
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is devoted to the study of the stochastic stability of a class of Cohen-Grossberg neural networks, in which the interconnections and delays are time-varying.
With the help of Lyapunov function, Burkholder-Davids-Gundy inequality, and Borel-Cantell's theory, a set of novel sufficient conditions on pth moment exponential stability and almost sure exponential stability for the trivial solution of the system is derived.
Compared with the previous published results, our method does not resort to the Razumikhin-type theorem and the semimartingale convergence theorem.
Results of the development as presented in this paper are more general than those reported in some previously published papers.
An illustrative example is also given to show the effectiveness of the obtained results.
American Psychological Association (APA)
Huang, Chuangxia& Cao, Jinde. 2011. Stochastic Dynamics of Nonautonomous Cohen-Grossberg Neural Networks. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-461390
Modern Language Association (MLA)
Huang, Chuangxia& Cao, Jinde. Stochastic Dynamics of Nonautonomous Cohen-Grossberg Neural Networks. Abstract and Applied Analysis No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-461390
American Medical Association (AMA)
Huang, Chuangxia& Cao, Jinde. Stochastic Dynamics of Nonautonomous Cohen-Grossberg Neural Networks. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-461390
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461390