Fixed-time bipartite synchronization of nonlinear impulsive time-varying signed networks with delays

Yao Xu, Xinzhi Liu, Lu Zhang, Wenxue Li, Yongbao Wu and Yang Liu

Applied Mathematics and Computation, 2024, vol. 480, issue C

Abstract: This paper investigates the fixed-time bipartite synchronization issue of nonlinear impulsive time-varying signed networks with time delays. Under the average impulsive interval method, two Lyapunov lemmas are given to ensure the fixed-time stability of nonlinear impulsive time-varying systems. The new settling-time estimations are accurately calculated in terms of the influences of the stabilizing and destabilizing impulses. Furthermore, based on the proposed fixed-time stability theory and the Lyapunov functional method, some sufficient conditions are established to ensure the fixed-time bipartite synchronization of the studied signed networks, and the settling-time estimations are given respectively as well. Moreover, under our theoretical results, an application of coupled time-varying spring-mass-damper systems with impulsive effects is studied. Finally, a numerical example is provided to show the effectiveness of the main results, and the simulation results reveal that synchronizing impulses can shorten the convergence time of the system states while desynchronizing impulses can increase that.

Keywords: Average impulsive interval method; Fixed-time bipartite synchronization; Impulsive effects; Signed networks; Time-varying systems (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:480:y:2024:i:c:s0096300324003667

DOI: 10.1016/j.amc.2024.128905

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