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

Yi Wang and Zhaoyan Wu
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Yi Wang: School of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, China
Zhaoyan Wu: School of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, China

Mathematics, 2021, vol. 9, issue 20, 1-12

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.

Keywords: cluster synchronization; variable-order fractional system; community network; intermittent control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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