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Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper investigates the stochastically exponential stability of reaction-diffusion impulsive stochastic cellular neural networks (CNN).
The reaction-diffusion pulse stochastic system model characterizes the complexity of practical engineering and brings about mathematical difficulties, too.
However, the difficulties have been overcome by constructing a new contraction mapping and an appropriate distance on a product space which is guaranteed to be a complete space.
This is the first time to employ the fixed point theorem to derive the stability criterion of reaction-diffusion impulsive stochastic CNN with distributed time delays.
Finally, an example is provided to illustrate the effectiveness of the proposed methods.
American Psychological Association (APA)
Rao, Ruofeng& Zhong, Shouming. 2017. Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory. Complexity،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1143242
Modern Language Association (MLA)
Rao, Ruofeng& Zhong, Shouming. Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory. Complexity No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1143242
American Medical Association (AMA)
Rao, Ruofeng& Zhong, Shouming. Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory. Complexity. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1143242
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143242