Quasi-projective synchronization of nonidentical fractional-order neural networks with inconsistent orders in quaternion field

Abstract

The present study explores the quasi-projective synchronization (QPS) for nonidentical fractional-order quaternion-valued neural networks (FOQVNNs) with inconsistent orders. We construct two controls: quaternion-valued feedback control and quaternion-valued adaptive control to examine QPS of the FOQVNNs. Rather than employing the conventional separation method, the quaternion-valued state is treated as an integrated whole, and the synchronization results for FOQVNNs are established using the Lyapunov direct method and the fractional derivative properties. Lastly, we give two numerical examples to validate the effectiveness of the acquired results.