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Consensus and Flocking under Communication Failures for a Class of Cucker-Smale Systems

Benoît Bonnet 1 Emilien Flayac 2
1 CaGE - Control And GEometry
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : In this paper, we study sufficient conditions for the emergence of asymptotic consensus and flocking in a certain class of non-linear generalised Cucker-Smale systems subject to multiplicative communication failures. Our approach is based on the combination of strict Lyapunov design together with the formulation of a suitable persistence condition for multi-agent systems. The latter can be interpreted as a lower bound on the algebraic connectivity of the time-average of the interaction graph generated by the communication weights, and provides quantitative decay estimates for the variance functional along the solutions of the system.
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https://hal.archives-ouvertes.fr/hal-02087941
Contributor : Benoît Bonnet <>
Submitted on : Monday, May 3, 2021 - 9:09:52 AM
Last modification on : Wednesday, June 2, 2021 - 4:27:34 PM

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  • HAL Id : hal-02087941, version 5

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Benoît Bonnet, Emilien Flayac. Consensus and Flocking under Communication Failures for a Class of Cucker-Smale Systems. 2021. ⟨hal-02087941v5⟩

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