Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control

In this paper, the cluster synchronization of a variable-order fractional community network with nonidentical dynamics is investigated. For achieving the cluster synchronization, intermittent controllers are designed, and the sufficient conditions with respect to system parameters, intermittent control instants and control gains are derived based on stability theory of fractional-order system and linear matrix inequalities (LMIs). To avoid verifying the LMIs, a corresponding simple corollary is provided. Finally, a numerical example is performed to verify the derived result.

Automated summary

This paper investigates the cluster synchronization of a variable-order fractional community network with nonidentical dynamics. Intermittent controllers are designed and sufficient conditions are derived based on stability theory of fractional-order system and LMIs. A simple corollary is provided to avoid verifying the LMIs, and a numerical example is performed to verify the result.