Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays

Abstract

This paper is devoted to discussing the globally projective synchronization of Caputo fractional-order quaternion-valued neural networks (FOQVNNs) with discrete and distributed delays. Without decomposing the FOQVNNs into several subsystems, by employing the Lyapunov direct method and inequality techniques, the algebraic criterion for the globally projective synchronization is derived. The effectiveness of the proposed result is illustrated by the MATLAB toolboxes and numerical simulation.

Keywords

• projective synchronization
• discrete delay
• distributed delay
• lyapunov direct method