Volume 3, Issue 1, April 2010, Pages 96 - 102
Exponential stability analysis for delayed stochastic Cohen-Grossberg neural network
Authors
Guanjun Wang, Jinling Liang
Corresponding Author
Guanjun Wang
Received 24 November 2008, Accepted 1 December 2009, Available Online 1 April 2010.
- DOI
- 10.2991/ijcis.2010.3.1.9How to use a DOI?
- Keywords
- Exponential stability, Cohen-Grossberg neural networks, Lyapunov method, Razumikhin-type theorem, Brownian motion
- Abstract
In this paper, the exponential stability problems are addressed for a class of delayed Cohen-Grossberg neural networks which are also perturbed by some stochastic noises. By employing the Lyapunov method, stochastic analysis and some inequality techniques, sufficient conditions are acquired for checking the pth(p > 1) and the 1st moment exponential stability of the network. Finally, One example is given to show the effectiveness of the proposed results.
- Copyright
- © 2010, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Guanjun Wang AU - Jinling Liang PY - 2010 DA - 2010/04/01 TI - Exponential stability analysis for delayed stochastic Cohen-Grossberg neural network JO - International Journal of Computational Intelligence Systems SP - 96 EP - 102 VL - 3 IS - 1 SN - 1875-6883 UR - https://doi.org/10.2991/ijcis.2010.3.1.9 DO - 10.2991/ijcis.2010.3.1.9 ID - Wang2010 ER -