Anti-synchronization of delayed memristive neural networks with leakage term and reaction–diffusion terms

摘要

In this paper, the global exponential anti-synchronization problem is studied for an array of delayed memristive neural networks (DMNNs) with leakage term and reaction–diffusion terms. Firstly, to investigate the exponential anti-synchronization problems, we will design two different types of controllers for the proposed systems. Secondly, via adopting Lyapunov functional method, the drive–response theory and some inequality techniques, several sufficient conditions are obtained to ensure the global exponential anti-synchronization of the proposed DMNNs with leakage term and reaction–diffusion terms. Specifically, the delays could be time-varying or constants in the leakage term. Compared with the previously research results, the proposed neural network models herein are more general, and the obtained results consider the diffusion effects, leakage delay and time-varying delays, and those results can improve and enrich the previously obtained results. At last, two numerical examples are provided to demonstrate the validity of the derived theoretical results.