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Article Dans Une Revue Systems and Control Letters Année : 2021

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

Résumé

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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Dates et versions

hal-02087941 , version 1 (02-04-2019)
hal-02087941 , version 2 (25-10-2019)
hal-02087941 , version 3 (28-05-2020)
hal-02087941 , version 4 (21-09-2020)
hal-02087941 , version 5 (03-05-2021)

Identifiants

Citer

Benoît Bonnet, Emilien Flayac. Consensus and Flocking under Communication Failures for a Class of Cucker-Smale Systems. Systems and Control Letters, 2021, 152, pp.104930. ⟨10.1016/j.sysconle.2021.104930⟩. ⟨hal-02087941v5⟩
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