Exponential Stabilization of Coupled Hybrid Stochastic Delayed BAM Neural Networks: A Periodically Intermittent Control Method
Yunjian Peng, Birong Zhao, Weijie Sun, Feiqi Deng · Complexity · 2018
This paper considers exponential stabilization for a class of coupled hybrid stochastic delayed bidirectional associative memory neural networks (HSD‐BAM‐NN) with reaction‐diffusion terms. A periodically intermittent controller is proposed to exponentially stabilize such an unstable HSD‐BAM‐NN, and sufficient conditions of the closed‐loop BAM‐NN system with exponential stabilization are derived by using Lyapunov‐Krasovskii functional method, stochastic analysis techniques, and integral inequality property, which decide the basic parameters of the proposed controller. Furthermore, a framework to establish simulation algorithm with sampled states is presented to implement the stabilization controller. With a HSD‐BAM‐NN model of power synchronization in a photovoltaic (PV) array field, we illustrate numerical simulation results to verify the correctness and effectiveness of the proposed controller.