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Journal Articles SIAM Journal on Control and Optimization Year : 2022

Controlling swarms towards flocks and mills

Abstract

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, is it possible to control any initial configuration to a flock or a mill. The proof builds on an appropriate combination of several arguments: 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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Dates and versions

hal-03167349 , version 1 (12-03-2021)
hal-03167349 , version 2 (15-08-2021)
hal-03167349 , version 3 (17-11-2021)

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Cite

José A Carrillo, Dante Kalise, Francesco Rossi, Emmanuel Trélat. Controlling swarms towards flocks and mills. SIAM Journal on Control and Optimization, 2022, 60 (3), pp.1863--1891. ⟨10.1137/21m1404314⟩. ⟨hal-03167349v3⟩
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