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Synchronization of hybrid impulsive and switching dynamical networks with delayed impulses

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Abstract

In this paper, the exponential synchronization problem is investigated for a class of hybrid impulsive and switching dynamical networks (HISDNs). Different from the existing results concerning synchronization of HISDNs, impulsive input delays are considered in our model. Moreover, in our model, the impulsive instances and system switching instances do not need to be coincident. By using the Razumikhin theorem and the mathematical induction method, several sufficient synchronization criteria are obtained in terms of linear matrix inequalities. The obtained criteria reveal that the frequency of impulsive occurrence, impulsive input delays, can heavily affect the synchronization performance. Finally, an example is provided to illustrate the effectiveness of the obtained results.

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Acknowledgments

This work was supported in part by the Innovation Program of Shanghai Municipal Education Commission (13ZZ050), the Key Foundation Project of Shanghai (12JC1400400), the Natural Science Foundation of China (No. 11401005), the Anhui Excellent Youth Fund (2013SQRL033ZD), the Natural Science Foundation of Anhui Province (Grant No. 1408085QA09) and the Fundamental Research Funds for the Central Universities (CUSF-DH-D-2015055).

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, Shanghai, 201620, People’s Republic of China

    Guang He, Jian-an Fang & Zhen Li

  2. The Department of Mathematics, Anhui Polytechnic University, Wuhu, 241000, Anhui, People’s Republic of China

    Guang He

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Correspondence to Guang He.

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He, G., Fang, Ja. & Li, Z. Synchronization of hybrid impulsive and switching dynamical networks with delayed impulses. Nonlinear Dyn 83, 187–199 (2016). https://doi.org/10.1007/s11071-015-2319-3

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