Bipartite Synchronization of Antagonistic Coupled Neural Networks: Average-Delay Pinning Impulsive Control
Lingzhong Zhang, Kaibo Shi, Jianquan Lu, Jungang Lou
Abstract
In this brief, delayed pinning impulsive control is designed for bipartite synchronization of antagonistic coupled neural networks (NNs) under directed and undirected signed graph. Compared with some related works, our pinning control is acted only at the impulsive delayed instants for the NNs nodes. The information of time delay existing in impulsive control is fetched through pinning control, and integrated to bipartite synchronization of leader-following networks. With the help of LMI-based method for designing average-delay pinning impulsive control, sufficient conditions ensuring bipartite synchronization of networks are obtained. The results show that the time delay in pinning impulsive control has positive impact on bipartite synchronization of antagonistic coupled NNs. By using average impulsive delay method, constraints on upper/lower bound of such delays are relaxed. Finally, a numerical example shows the effectiveness of the results.