Abstract
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.
Highlights
We derive the sufficient conditions for achieving cluster synchronization with respect to the system parameters, intermittent control instants and control gains
Consider a variable-order fractional community network consisting of 19 nodes and 3 communities
The node dynamics of the pth community is chosen as a variable-order Chen system [24]:
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. In [1], Zhou et al investigated the cluster synchronization of a colored community integer-order network via intermittent pinning control. In [25], a new fractional variable-order creep model with short memory is introduced. The cluster synchronization of a variable-order fractional dynamical network is seldom studied via intermittent control. Motivated by the above discussions, we consider the cluster synchronization of a variable-order fractional dynamical network by designing proper intermittent controllers. In. Section 3, based on the stability theory of the fractional-order system and mathematical analysis technique, we derive the sufficient conditions for achieving cluster synchronization with respect to the system parameters, intermittent control instants and control gains.
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