{"title":"Finite and fixed time synchronization of multi-link complex-valued complex networks with time delay via hybrid control","authors":"Jie Wei, Zhihuan Chen","doi":"10.1016/j.cnsns.2025.108678","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the problem of finite and fixed time synchronization for multi-link complex-valued complex networks (MLCCNs) with time delay. In contrast to the existing works, the finite and fixed time synchronization of MLCCNs is conducted in the complex field, which is more general. In order to reduce the control costs, two hybrid control strategies, with finite time and fixed time, are proposed to address the synchronization process of MLCCNs. Based on the Lyapunov stability theory as well as inequality technique of complex field, sufficient criteria are established by theoretical proof. Numerical simulations are presented to validate the effectiveness and superiority of the proposed theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"144 ","pages":"Article 108678"},"PeriodicalIF":3.8000,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425000899","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/16 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the problem of finite and fixed time synchronization for multi-link complex-valued complex networks (MLCCNs) with time delay. In contrast to the existing works, the finite and fixed time synchronization of MLCCNs is conducted in the complex field, which is more general. In order to reduce the control costs, two hybrid control strategies, with finite time and fixed time, are proposed to address the synchronization process of MLCCNs. Based on the Lyapunov stability theory as well as inequality technique of complex field, sufficient criteria are established by theoretical proof. Numerical simulations are presented to validate the effectiveness and superiority of the proposed theoretical results.
期刊介绍：
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.
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