This paper develops a sparse flocking control for the fractional Cucker–Smale multi-agent model. The Caputo fractional derivative, in the equations describing the dynamics of a consensus parameter, makes it possible to take into account in the self-organization of group its history and memory dependency. External control is designed based on necessary conditions for a local solution to the appropriate optimal control problem. Numerical simulations demonstrate the effectiveness of the control scheme.

中文翻译：

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关于分数Cucker-Smale最优控制问题的最优条件

本文针对分数Cucker-Smale多主体模型开发了稀疏的植绒控制。Caputo分数阶导数在描述共识参数动态的方程式中，可以在组的自组织中考虑其历史和内存依赖性。外部控制是根据必要条件设计的，以对适当的最佳控制问题进行本地解决。数值模拟证明了该控制方案的有效性。