Analysis of Exponential Stability for Neutral Stochastic Cohen-Grossberg Neural Networks with Mixed Delays

Joint Authors

Xiong, Zuoliang
Yang, Tianqing
Yang, Cuiping

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-06-11

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

This paper is concerned with the mean-square exponential input-to-state stability problem for a class of stochastic Cohen-Grossberg neural networks.

Different from prior works, neutral terms and mixed delays are discussed in our system.

By employing the Lyapunov-Krasovskii functional method, Itô formula, Dynkin formula, and stochastic analysis theory, we obtain some novel sufficient conditions to ensure that the addressed system is mean-square exponentially input-to-state stable.

Moreover, two numerical examples and their simulations are given to illustrate the correctness of the theoretical results.

American Psychological Association (APA)

Yang, Tianqing& Xiong, Zuoliang& Yang, Cuiping. 2019. Analysis of Exponential Stability for Neutral Stochastic Cohen-Grossberg Neural Networks with Mixed Delays. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146402

Modern Language Association (MLA)

Yang, Tianqing…[et al.]. Analysis of Exponential Stability for Neutral Stochastic Cohen-Grossberg Neural Networks with Mixed Delays. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1146402

American Medical Association (AMA)

Yang, Tianqing& Xiong, Zuoliang& Yang, Cuiping. Analysis of Exponential Stability for Neutral Stochastic Cohen-Grossberg Neural Networks with Mixed Delays. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146402

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1146402