Pinning impulsive stabilization for BAM reaction-diffusion neural networks with mixed delays

作者：Lu, Binglong; Jiang, Haijun^*; Hu, Cheng; Abdurahman, Abdujelil

来源：Journal of the Franklin Institute, 2018, 355(17): 8802-8829.

DOI：10.1016/j.jfranklin.2018.09.018

• GLOBAL EXPONENTIAL STABILITY
• TIME-VARYING DELAYS
• BIDIRECTIONAL ASSOCIATIVE MEMORIES
• COMPLEX DYNAMICAL NETWORKS
• SAMPLED-DATA
• SYNCHRONIZATION
• TERMS
• CONTROLLER
• EXISTENCE

The exponential stabilization of BAM reaction-diffusion neural networks with mixed delays is discussed in this article. At first, a general pinning impulsive controller is introduced, in which the control functions are nonlinear and the pinning neurons are determined by reordering the state error. Next, based on the designed control protocol and the Lyapunov-Krasovskii functional approach, some novel and useful criteria, which depend on the diffusion coefficients and controlling parameters, are established to guarantee the global exponential stabilization of the considered neural networks. Finally, the effectiveness of the proposed control strategy is shown by two numerical examples.

• 出版日期2018-11
• 单位新疆大学