Nonseparation analysis-based finite/fixed-time synchronization of fully complex-valued impulsive dynamical networks

Kailong Xiong, Juan Yu, Cheng Hu, Shiping Wen and Fanchao Kong

Applied Mathematics and Computation, 2024, vol. 467, issue C

Abstract: In this article, the impulsive effect is introduced into complex-variable networks (CO-VNs) and the finite/fixed-time synchronization (FI-T/FX-TS) of fully CO-VNs is discussed without using the classical decomposition approach. First of all, by applying the comparison principle, mathematical induction and the optimization method, two theorems are established to realize FI/FX-T stability of impulsive systems, and the estimated convergence time derived is more accurate. Furthermore, under the vector-valued signum function and different forms of norms in the complex field, several complex-valued control protocols are directly designed to realize synchronization. Besides, some effective conditions for FI/FX-TS are derived under the improved FI/FX-T stability results, which are simpler and easier to be verified than the previous decomposition results. To conclude, three numerical examples are provided to verify the obtained theoretical results.

Keywords: Complex-variable network; Impulsive effect; Synchronization; Finite/fixed time (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:467:y:2024:i:c:s0096300323006690

DOI: 10.1016/j.amc.2023.128500

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