Adaptive control for output projective synchronization of fractional-order hybrid coupled neural networks with mismatched dimensions

Abstract

This paper is concerned with output projective synchronization (OPS) for fractional-order Hybrid Coupled neural networks (FOHCNNs) with mismatched dimensions. Distinguishing from the traditional projective synchronization, the concept of OPS for fractional-order systems is given. Moreover, a new fractional-order Halanay-type inequality is presented by the properties of the Mittag-Leffler function. Then, several new sufficient conditions to ensure OPS of FOHCNNs with mismatched dimensions are obtained via a new effective adaptive controller. In particular, several adaptive control strategies are given to ensure the output synchronization, output anti-synchronization, and stabilization of FOHCNNs with mismatched dimensions. Finally, a numerical example is given to show the effectiveness of the theoretical results.