Lp synchronization of shunting inhibitory cellular neural networks with multiple proportional delays

Abstract

In this paper, synchronization control of shunting inhibitory cellular neural networks with multiple proportional delays is studied. Firstly, a controller is designed to ensure Lp synchronization between the response and drive shunting inhibitory cellular neural networks. Then, a method based on system solutions is proposed to obtain Lp synchronization criteria. On the one hand, the synchronization criteria obtained by this method only contain some simple inequalities, and hence the calculation amount is greatly reduced. On the other hand, the method does not require the establishment of any Lyapunov–Krasovskii functional. The obtained Lp synchronization criteria are simpler and can be tested by standard software tools. Finally, a numerical example is given to illustrate the superiority of the proposed Lp synchronization criteria. It is worth emphasizing that the Lp synchronization control problem is analyzed for the first time in this paper.