Consensus and flocking under communication failures for a class of Cucker–Smale systems

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 th...

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Bibliographic Details
Published inSystems & control letters Vol. 152; p. 104930
Main Authors Bonnet, Benoît, Flayac, Émilien
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2021
Elsevier
Subjects
Asymptotic flocking
Automatic Control Engineering
Computer Science
Mathematics
Multi-agent systems
Optimization and Control
Persistence of excitation
Strict Lyapunov design
Strict Lyapunov design
Persistence of excitation
Multi-agent systems
Asymptotic flocking
Strict Lyapunov Design
Asymptotic Flocking
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Summary: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.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2021.104930