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| Cluster Lag Synchronization in Fractional-order Community Networks with Coupling Delay |
| WU Congling, WU Zhaoyan
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| College of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,China |
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Abstract Through designing effective delayed feedback and open-loop controllers, the cluster lag synchronization problem of fractional order community network is studied. For different communities of the network, both the node dynamics and the lags with synchronization goals are nonidentical. Based on the Lyapunov function method and the stability theory of fractional order system, the sufficient condition for achieving the cluster lag synchronization is derived. Finally, the correctness and effectiveness of the theoretical results are verified by numerical and simulation examples.
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Received: 04 March 2023
Published: 03 January 2025
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