Pinning synchronization of fractional memristor-based neural networks with neutral delays and reaction–diffusion terms

Abstract

This article explores the pinning synchronization of fractional memristor-based neural networks under the effect of neutral delays and reaction–diffusion. First, we introduce neutral delays into the Riemann–Liouville fractional reaction–diffusion memristor-based neural networks model. Subsequently, two innovative pinning controllers incorporating the current and past states are designed. Next, we provide a new modified Lyapunov functional for obtaining two less conservative criteria to enable asymptotic synchronization of fractional reaction–diffusion memristor-based neural networks with neutral delays with the aid of Green’s theorem, inequality techniques, and pinning control techniques. In addition, the results based on algebraic inequalities correct and improve some existing ones. Finally, simulations are employed to validate the obtained conclusions.