Pinning Synchronization of Nonlinear and Delayed Coupled Neural Networks with Multi-weights via Aperiodically Intermittent Control

This paper deals with the synchronization issues of delayed neural networks with multi-weights under aperiodically intermittent pinning control. There are three main differences of this paper with previous works: firstly, aperiodically intermittent pinning control scheme is used to synchronize the proposed neural networks; secondly, the model is delayed neural networks with multi-weights, which have several different sorts of weights between two nodes; thirdly, internal delay and multi-coupling delays are considered simultaneously. By establishing new nonlinear inequalities and constructing Lyapunov function, several sufficient criteria are derived to guarantee exponential synchronization for the proposed neural network models. Moreover, an effective pinned-node selection scheme which determines what kind of nodes should be prior controlled is provided. Finally, two illustrative examples are presented to demonstrate the effectiveness of the theoretical results.