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  • 标题:Optimal consensus control of the Cucker-Smale model
  • 本地全文:下载
  • 作者:Rafael Bailo ; Mattia Bongini ; José A. Carrillo
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:13
  • 页码:1-6
  • DOI:10.1016/j.ifacol.2018.07.245
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractWe study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive first-order necessary optimality conditions. In the case of a smooth penalisation of the control energy, the optimality system is numerically approximated via a gradient-descent method. For sparsity promoting, non-smoothl1-norm control penalisations, the optimal controllers are realised by means of heuristic methods. For an increasing number of agents, we discuss the approximation of the consensus control problem by following a mean-field modelling approach.
  • 关键词:KeywordsAgent-based modelsCucker-Smale modelconsensus controloptimal controlfirst-order optimality conditionssparse controlmean-field modelling
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