Finite-time synchronization and H∞ synchronization of coupled complex-valued memristive neural networks with and without parameter uncertainty

Abstract In this paper, finite-time synchronization and H ∞ synchronization of coupled complex-valued memristive neural networks (CCVMNNs) with or without parameter uncertainty are analyzed. First, a finite-time synchronization (FTS) condition is presented for CCVMNNs by means of deploying Lyapunov stability theory and developing suitable controllers. Then, we utilize the similar method to derive a criterion of robust finite-time synchronization (RFTS) for the proposed CCVMNNs with uncertain parameter. Furthermore, we establish some criteria for the sake of ensuring that the considered network can reach finite-time H ∞ synchronization and robust finite-time H ∞ synchronization. At last, two numerical examples with simulations demonstrate the validity of the acquired results.