Synchronization Control of Proportional Delayed Memristive Cellular Neural Networks: Robust Analysis Approach

Abstract

This work examines the issue of synchronization control of proportional delayed memristor-based cellular neural networks (MCNNs). Due to the memristor's state transition char-acteristics, parameters mismatching will occur during the syn-chronization process. To overcome such parameters mismatching issue, a discontinuous robust control method is employed. A novel Lyapunov-Krasovskii functional (LKF) including delay parameter is considered for the proposed problem with relaxation on the positive definite constraint in the LKF. A delay-dependent stability criterion is provided and expressed as linear matrix inequalities (LMIs) using Lyapunov stability theory and robust analysis approach. Finally, the obtained theoretical result is verified through an illustrative example.