Controlling Swarms toward Flocks and Mills

Controlling Swarms toward Flocks and Mills
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控制蜂群走向羊群和磨坊

DOI:
10.1137/21m1404314
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发表时间:
2022
影响因子:
2.2
通讯作者:
Carrillo J
Carrillo J
中科院分区:
数学2区
文献类型:
--
作者:
Carrillo J

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研究了具有自推进和位势项的二阶种群系统的自组织和控制问题。结果表明,通过约束控制的作用,可以对羊群或磨机的任何初始构型进行控制。证明建立在几个论点的适当组合上:LaSalle不变原理和类Lyapunov递减泛函,控制线性化技术,以及准静态变形。通过对二阶系统的稳定性分析,指导设计了羊群和磨坊的镇定反馈律,并对反馈律进行了计算评估。
Self-organization and control around flocks and mills is studied for second-order swarming systems involving self-propulsion and potential terms. It is shown that through the action of constrained control, it is possible to control any initial configuration to a flock or a mill. The proof builds on an appropriate combination of several arguments: the LaSalle invariance principle and Lyapunov-like decreasing functionals, control linearization techniques, and quasi-static deformations. A stability analysis of the second-order system guides the design of feedback laws for the stabilization to flock and mills, which are also assessed computationally.
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