Asymptotic synchronization of second-fractional -order fuzzy neural networks with impulsive effects

Abstract

Without transforming the second-fractional-order terms to the first-fractional-order, this paper focuses on the global asymptotic synchronization (GAS) of second-fractional-order fuzzy neural networks (SFOFNNs) with delay and impulsive effects in the Caputo fractional derivative (CFD) sense. Based on the fractional Lyapunov functional approach and applying the impulsive fractional-order delayed comparison principle, several effective criteria in terms of algebraic inequalities are directly obtained to ensure the GAS of two SFOFNNs by proposing two different types of control schemes with the fractional derivative of states. Compared with the current variable substitution methods, the GAS is firsthand discussed by presenting a few new fractional Lyapunov functionals. Finally, two numerical simulations are given to demonstrate the validity of the derived findings.