Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks
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
2013-08-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with the stability of impulsive stochastic reaction-diffusion differential systems with mixed time delays.
First, an equivalent relation between the solution of a stochastic reaction-diffusion differential system with time delays and impulsive effects and that of corresponding system without impulses is established.
Then, some stability criteria for the stochastic reaction-diffusion differential system with time delays and impulsive effects are derived.
Finally, the stability criteria are applied to impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed time delays, and sufficient conditions are obtained for the exponential p-stability of the zero solution to the neural networks.
An example is given to illustrate the effectiveness of our theoretical results.
The systems we studied in this paper are more general, and some existing results are improved and extended.
American Psychological Association (APA)
Du, Yanke& Li, Yanlu& Xu, Rui. 2013. Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-497890
Modern Language Association (MLA)
Du, Yanke…[et al.]. Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-497890
American Medical Association (AMA)
Du, Yanke& Li, Yanlu& Xu, Rui. Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-497890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497890