Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays
Joint Authors
Huang, Lehua
Huang, Chuangxia
Yang, Xinsong
He, Yigang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-17
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Stability of reaction-diffusion recurrent neural networks (RNNs) with continuously distributed delays and stochastic influence are considered.
Some new sufficient conditions to guarantee the almost sure exponential stability and mean square exponential stability of an equilibrium solution are obtained, respectively.
Lyapunov's functional method, M-matrix properties, some inequality technique, and nonnegative semimartingale convergence theorem are used in our approach.
The obtained conclusions improve some published results.
American Psychological Association (APA)
Huang, Chuangxia& Yang, Xinsong& He, Yigang& Huang, Lehua. 2011. Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-481569
Modern Language Association (MLA)
Huang, Chuangxia…[et al.]. Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-481569
American Medical Association (AMA)
Huang, Chuangxia& Yang, Xinsong& He, Yigang& Huang, Lehua. Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-481569
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481569
