Cluster output synchronization analysis of coupled fractional-order uncertain neural networks

Abstract

This paper investigates the cluster output synchronization of coupled fractional-order uncertain neural networks. By utilizing Lyapunov's theorem and effective inequalities applicable to fractional-order systems, sufficient criteria are established to achieve the cluster output synchronization of coupled fractional-order uncertain neural networks for two different communication topologies, namely strongly connected topology and topology with a spanning tree. Unlike previous works that have focused on the output synchronization of neural networks within the confines of integer order systems or strongly connected topologies, this paper extends the exploration to the output synchronization of coupled fractional-order uncertain neural networks with a spanning tree. Additionally, the conclusions of this paper include the complete synchronization of both fractional-order and integer-order neural networks as special cases. Numerical examples are shown to substantiate the obtained results.