General decay anti-synchronization and H∞ anti-synchronization of derivative coupled delayed memristive neural networks with constant and delayed state coupling

Abstract

In this article, we explore the general decay anti-synchronization (GDAS) and general decay $H_{\infty }$ anti-synchronization (GDHAS) of derivative coupled delayed memristive neural networks (DCDMNNs) with constant and delayed state coupling, respectively. To begin with, on account of the definitions of $\psi$-type function as well as $\psi$-type stability, we present the GDAS and GDHAS concepts for the considered DCDMNNs. What is more, several sufficient conditions are derived for reaching GDAS and GDHAS of DCDMNNs with constant and delayed state coupling by selecting correct Lyapunov functionals and devising a proper controller. Moreover, numerical simulations examples are provided to demonstrate the feasibility of the obtained conclusions.