Synchronization robustness analysis of memristive-based neural networks with deviating arguments and stochastic perturbations

Abstract

In this article, we investigate the robustness of memristive-based neural networks (MNNs) with deviating arguments (DAs) and stochastic perturbations (SPs). Based on the set-valued mapping method, differential inclusion theory and Gronwall inequalities, we derive the upper bounds for the width of DAs and the intensity of SPs. When the DAs and SPs are smaller than these upper bounds, the MNNs maintains exponential synchronization. Finally, several specific simulation examples demonstrate the effectiveness of the results.

Keywords

• memristive-based neural networks
• deviating arguments
• stochastic perturbations
• exponential synchronization