Improved Stability Results for Stochastic Cohen---Grossberg Neural Networks with Discrete and Distributed Delays

Authors:
Cheng-De Zheng;Qi-He Shan;Zhanshan Wang
Affiliations:
School of Science, Dalian Jiaotong University, Dalian, People's Republic of China 116028;School of Science, Dalian Jiaotong University, Dalian, People's Republic of China 116028;School of Information Science and Engineering, Northeastern University, Shenyang, People's Republic of China 110004
Venue:
Neural Processing Letters
Year:
2012

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Abstract

This paper is concerned with the exponential stability problem for a class of stochastic Cohen---Grossberg neural networks with discrete and unbounded distributed time delays. By applying the Jensen integral inequality and the generalized Jensen integral inequality, several improved delay-dependent criteria are developed to achieve the exponential stability in mean square in terms of linear matrix inequalities. It is established theoretically that two special cases of the obtained criteria are less conservative than some existing results but including fewer slack variables. As the present conditions involve fewer free weighting matrices, the computational burden is largely reduced. Three numerical examples are provided to demonstrate the effectiveness of the theoretical results.