Complete synchronization of discrete-time variable-order fractional neural networks with time delays

Abstract

This paper investigates complete synchronization of discrete-time variable-order fractional neural networks (DVFNNs) with time delays. By discrete inequality technologies and nabla Laplace transform, two stability lemmas are derived which are generalizations of the constant-order case. Furthermore, several complete synchronization criteria for DVFNNs are proposed by utilizing inequality techniques and Lyapunov method. Finally, a numerical example is provided to verify the theoretical results. This paper also provides a stability analysis method for variable-order fractional discrete-time systems.