{"title":"Optimizing target control in complex networks using edge-addition cost","authors":"Linying Xiang , Shuwei Yao , Xiao Wang , Zeya Zhu","doi":"10.1016/j.cnsns.2024.108371","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates optimal target control of complex networks through modifications in network topology. A novel edge-addition algorithm is proposed to ensure structural target controllability in directed networks with a single input. An edge-addition cost is introduced to measure the efficiency of achieving target control objectives. The relationships between the target node selection and the average node degree, respectively, and the edge-addition cost are examined by numerical simulations. It concludes that both the choice of target nodes and the average node degree significantly influence the cost-effectiveness of achieving target control. These findings offer valuable insights for the design of optimal networks in practical applications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-09-27","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/S1007570424005562","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
This paper investigates optimal target control of complex networks through modifications in network topology. A novel edge-addition algorithm is proposed to ensure structural target controllability in directed networks with a single input. An edge-addition cost is introduced to measure the efficiency of achieving target control objectives. The relationships between the target node selection and the average node degree, respectively, and the edge-addition cost are examined by numerical simulations. It concludes that both the choice of target nodes and the average node degree significantly influence the cost-effectiveness of achieving target control. These findings offer valuable insights for the design of optimal networks in practical applications.
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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