Exponential Synchronization of Second-Order Fuzzy Memristor-Based Neural Networks With Mixed Time Delays via Fuzzy Adaptive Control

This article addresses the exponential synchronization problem for a class of fuzzy inertial memsirtor-based neural networks with mixed time-varying delays. First, the inertial items are described as second-order systems and transformed into first-order systems by utilizing a appropriate variable substitution. Then, the fuzzy state-feedback control strategy and fuzzy adaptive control strategy are designed to ensure the exponential synchronization under the framework of Filippov solutions. The exponential synchronization algebraic conditions are obtained by choosing a proper Lyapunov–Krasovskii functional. Finally, two numerical simulations are provided to validate the effectiveness and benefit of the proposed results.