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

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.

References in corpus (2)

• Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
• Bearing-only formation control under persistence of excitation

Cited by in corpus (4)

• Consensus Formation in First-Order Graphon Models with Time-Varying Topologies
• Convergence to consensus results for Hegselmann-Krause type models with attractive-lacking interaction
• A note on the Cucker-Smale model with time delay and communication failures
• First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures