Stochastic Synchronization of Reaction-Diffusion Neural Networks under General Impulsive Controller with Mixed Delays
Joint Authors
Yang, Zhichun
Huang, Chuangxia
Yang, Xinsong
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-23
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
This paper investigates drive-response synchronization of a class of reaction-diffusion neural networks with time-varying discrete and distributed delays via general impulsive control method.
Stochastic perturbations in the response system are also considered.
The impulsive controller is assumed to be nonlinear and has multiple time-varying discrete and distributed delays.
Compared with existing nondelayed impulsive controller, this general impulsive controller is more practical and essentially important since time delays are unavoidable in practical operation.
Based on a novel impulsive differential inequality, the properties of random variables and Lyapunov functional method, sufficient conditions guaranteeing the global exponential synchronization in mean square are derived through strict mathematical proof.
In our synchronization criteria, the distributed delays in both continuous equation and impulsive controller play important role.
Finally, numerical simulations are given to show the effectiveness of the theoretical results.
American Psychological Association (APA)
Yang, Xinsong& Huang, Chuangxia& Yang, Zhichun. 2012. Stochastic Synchronization of Reaction-Diffusion Neural Networks under General Impulsive Controller with Mixed Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-484300
Modern Language Association (MLA)
Yang, Xinsong…[et al.]. Stochastic Synchronization of Reaction-Diffusion Neural Networks under General Impulsive Controller with Mixed Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-484300
American Medical Association (AMA)
Yang, Xinsong& Huang, Chuangxia& Yang, Zhichun. Stochastic Synchronization of Reaction-Diffusion Neural Networks under General Impulsive Controller with Mixed Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-484300
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484300