Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with Mixed Time Delays
Joint Authors
Chen, Minglai
Zhang, Weiyuan
Li, Junmin
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-23
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We discuss the dynamical behaviors of impulsive stochastic reaction-diffusion neural networks (ISRDNNs) with mixed time delays.
By using a well-known L-operator differential inequality with mixed time delays and combining with the Lyapunov-Krasovkii functional approach, as well as linear matrix inequality (LMI) technique, some novel sufficient conditions are derived to ensure the existence, uniqueness, and global exponential stability of the periodic solutions for ISRDNNs with mixed time delays in the mean square sense.
The obtained sufficient conditions depend on the reaction-diffusion terms.
The results of this paper are new and improve some of the previously known results.
The proposed model is quite general since many factors such as noise perturbations, impulsive phenomena, and mixed time delays are considered.
Finally, two numerical examples are provided to verify the usefulness of the obtained results.
American Psychological Association (APA)
Zhang, Weiyuan& Li, Junmin& Chen, Minglai. 2012. Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with Mixed Time Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-456170
Modern Language Association (MLA)
Zhang, Weiyuan…[et al.]. Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with Mixed Time Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-456170
American Medical Association (AMA)
Zhang, Weiyuan& Li, Junmin& Chen, Minglai. Dynamical Behaviors of Impulsive Stochastic Reaction-Diffusion Neural Networks with Mixed Time Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-456170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456170