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Unified Synchronization Criteria for Hybrid Switching-Impulsive Dynamical Networks

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Abstract

This paper discusses the synchronization problem of hybrid switching-impulsive dynamical networks. By using the contraction theory, several unified criteria are obtained for network synchronization based on the conception of the average impulsive dwell-time. It is demonstrated that the synchronization property of the hybrid network depends not only on the network’s structure (i.e., topology), but also the node’s dynamics, and that such unified average dwell-time-based conditions are less conservative than some existing results. The numerical examples are presented to illustrate the effectiveness of the proposed results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (No. 61472195) and the Taishan Scholar Project Fund of Shandong Province of China.

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Authors and Affiliations

  1. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao, 266042, People’s Republic of China

    Yan Ji & Ximei Liu

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  1. Yan Ji
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  2. Ximei Liu
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Correspondence to Yan Ji.

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Ji, Y., Liu, X. Unified Synchronization Criteria for Hybrid Switching-Impulsive Dynamical Networks. Circuits Syst Signal Process 34, 1499–1517 (2015). https://doi.org/10.1007/s00034-014-9916-0

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