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Exponential synchronization of complex networks with unmeasured coupling delays via impulsive observer and impulsive control

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  • Chu, Yao
  • Li, Xiaodi
  • Han, Xiuping

Abstract

In this article, exponential synchronization problem of complex networks with coupling delays using an impulsive observer and impulsive control is studied. Different from traditional network synchronization schemes, the state of the observer is fed back to the network nodes to achieve synchronization. The observer and controller, modeled by impulsive differential equations, are more secure and efficient. Both the cases of measurable and unmeasurable information of coupling time-varying delays are considered. Several criteria are obtained to investigate globally exponential synchronization of complex networks. The exponential convergence rate can be estimated effectively. By solving the linear matrix inequalities (LMIs) associated with the results, the gain matrices can be designed. Finally, theoretical results are verified through a numerical example.

Suggested Citation

  • Chu, Yao & Li, Xiaodi & Han, Xiuping, 2024. "Exponential synchronization of complex networks with unmeasured coupling delays via impulsive observer and impulsive control," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    • Handle: RePEc:eee:apmaco:v:479:y:2024:i:c:s0096300324003047
    DOI: 10.1016/j.amc.2024.128843
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    References listed on IDEAS

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    3. Wu-Hua Chen & Dan-Xia Li & Xiaomei Lu, 2013. "Impulsive observers with variable update intervals for Lipschitz nonlinear time-delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(10), pages 1934-1947.
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