Intermittent boundary stabilization of stochastic reaction-diffusion Cohen-Grossberg neural networks
Xiao-Zhen Liu1, Kai-Ning Wu1, Weihai Zhang2
1Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, China.
Abstract:
Cohen-Grossberg neural networks (CGNNs) play an important role in many applications and the stabilization of this system has been well studied. This study considers the exponential stabilization for stochastic reaction-diffusion Cohen-Grossberg neural networks (SRDCGNNs) by means of an aperiodically intermittent boundary control. Both SRDCGNNs without and with time-delays are discussed. By employing the spatial integral functional method and Poincare's inequality, criteria are derived to ensure the controlled systems achieve mean square exponential stabilization. Based on these criteria, the effects of diffusion item, control gains, the minimum control proportion and time-delays on exponential stability are analyzed. Examples are given to illustrate the effectiveness of the obtained theoretical results.
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