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Impulsive Exponential Synchronization of Fractional-Order Complex Dynamical Networks with Derivative Couplings via Feedback Control Based on Discrete Time State Observations

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Abstract

This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks (FCDNs) with derivative couplings and impulse effects via designing an appropriate feedback control based on discrete time state observations. In contrast to the existing works on integer-order derivative couplings, fractional derivative couplings are introduced into FCDNs. First, a useful lemma with respect to the relationship between the discrete time observations term and a continuous term is developed. Second, by utilizing an inequality technique and auxiliary functions, the rigorous global exponential synchronization analysis is given and synchronization criterions are achieved in terms of linear matrix inequalities (LMIs). Finally, two examples are provided to illustrate the correctness of the obtained results.

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Author information

Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066001, China

    Ruihong Li  (李瑞鸿) & Huaiqin Wu  (武怀勤)

  2. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao  (曹进德)

  3. Yonsei Frontier Lab, Yonsei University, Seoul, 03722, Korea

    Jinde Cao  (曹进德)

Authors
  1. Ruihong Li  (李瑞鸿)
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  2. Huaiqin Wu  (武怀勤)
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  3. Jinde Cao  (曹进德)
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Corresponding author

Correspondence to Huaiqin Wu  (武怀勤).

Additional information

The first author are supported by Key Project of Natural Science Foundation of China (61833005) and the Natural Science Foundation of Hebei Province of China (A2018203288).

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Li, R., Wu, H. & Cao, J. Impulsive Exponential Synchronization of Fractional-Order Complex Dynamical Networks with Derivative Couplings via Feedback Control Based on Discrete Time State Observations. Acta Math Sci 42, 737–754 (2022). https://doi.org/10.1007/s10473-022-0219-4

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  • DOI: https://doi.org/10.1007/s10473-022-0219-4

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