Fixed-Time Synchronization of Memristive Fuzzy BAM Cellular Neural Networks With Time-Varying Delays Based on Feedback Controllers

Abstract

This paper mainly investigates the fixed-time synchronization problem of memristive fuzzy bidirectional associative memory (BAM) cellular neural networks (MFBAMCNNs) with time-varying delays. MFBAMCNNs are formulated by virtue of differential inclusion and set-valued map theories. By utilizing the definition of fixed-time synchronization and some inequality techniques, some novel criteria for easy verification are derived to ensure the fixed-time synchronization of the drive-response MFBAMCNNs based on the Lyapunov stability theory and nonlinear feedback controllers. The results of the main theorem can be easily extended to the fuzzy BAM cellular neural networks without memristor and the memristive BAM cellular neural networks without fuzzy logic. In addition, the settling time of fixedtime synchronization, which does not depend on the initial values, can be simply calculated. At last, two numerical examples are presented to verify the effectiveness of main results.