International Journal of Computational Intelligence Systems

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Volume 9, Issue 5, September 2016, Pages 945 - 956

Existence and p-exponential stability of periodic solution for stochastic shunting inhibitory cellular neural networks with time-varying delays

Authors
Changjin Xu1, *, xcj403@126.com, Maoxin Liao2, maoxinliao@163.com, Yicheng Pang3, ypanggy@outlook.com
1Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China
2School of Mathematics and Physics, University of South China, Hengyang 421001, PR China
3School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, PR China
* Corresponding author, Email: xcj403@126.com (C.Xu).
Corresponding Author
Changjin Xuxcj403@126.com
Received 31 October 2014, Accepted 20 June 2016, Available Online 1 September 2016.
DOI
10.1080/18756891.2016.1237192How to use a DOI?
Keywords
Stochastic shunting inhibitory cellular neural networks; periodic solution; p-exponential stability; delay
Abstract

In this paper, we investigate a class of stochastic shunting inhibitory cellular neural networks with time-varying delays. Applying integral inequality, some sufficient conditions on the existence and p-exponential stability of periodic solutions for stochastic shunting inhibitory cellular neural networks with time-varying delays are established. An example is presented to illustrate our main theoretical findings. Our results are new and complementary to previously known studies.

Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
9 - 5
Pages
945 - 956
Publication Date
2016/09/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2016.1237192How to use a DOI?
Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Changjin Xu
AU  - Maoxin Liao
AU  - Yicheng Pang
PY  - 2016
DA  - 2016/09/01
TI  - Existence and p-exponential stability of periodic solution for stochastic shunting inhibitory cellular neural networks with time-varying delays
JO  - International Journal of Computational Intelligence Systems
SP  - 945
EP  - 956
VL  - 9
IS  - 5
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2016.1237192
DO  - 10.1080/18756891.2016.1237192
ID  - Xu2016
ER  -