Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory

Joint Authors

Zhong, Shouming
Rao, Ruofeng

Source

Complexity

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

Philosophy

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