{"title":"Synchronization of fractional complex networks with unbounded coupling delays via adaptive control","authors":"Xinge Liu, Qingsong Feng, Saeed Ullah, Shuailei Zhang","doi":"10.1016/j.cnsns.2024.108518","DOIUrl":null,"url":null,"abstract":"In this paper, a novel type of fractional complex networks with unbounded coupling delays (FCNUCD) is investigated. The adaptive feedback control strategy is proposed to achieve the leader-following synchronization of the FCNUCD. The leaderless synchronization of the FCNUCD is also achieved by employing the edge-based adaptive control strategy. Furthermore, a new mixed adjustment rule is proposed in the design of the adaptive control strategy. Two numerical examples are provided to illustrate the effectiveness of the adaptive control strategies.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"23 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2024-12-11","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://doi.org/10.1016/j.cnsns.2024.108518","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, a novel type of fractional complex networks with unbounded coupling delays (FCNUCD) is investigated. The adaptive feedback control strategy is proposed to achieve the leader-following synchronization of the FCNUCD. The leaderless synchronization of the FCNUCD is also achieved by employing the edge-based adaptive control strategy. Furthermore, a new mixed adjustment rule is proposed in the design of the adaptive control strategy. Two numerical examples are provided to illustrate the effectiveness of the adaptive control strategies.
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.