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

Yao Chu, Xiaodi Li and Xiuping Han

Applied Mathematics and Computation, 2024, vol. 479, issue C

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.

Keywords: Impulsive observer; Complex networks; Time delay; Impulsive control (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:479:y:2024:i:c:s0096300324003047

DOI: 10.1016/j.amc.2024.128843

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