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Article Dans Une Revue Communications in Mathematical Sciences Année : 2018

Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays

Résumé

We consider the celebrated Cucker-Smale model in finite dimension, modelling interacting collective dynamics and their possible evolution to consensus. The objective of this paper is to study the effect of time delays in the general model. By a Lyapunov functional approach, we provide convergence results to consensus for symmetric as well as nonsymmetric communication weights under some structural conditions.
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Dates et versions

hal-01562559 , version 1 (15-07-2017)
hal-01562559 , version 2 (26-07-2017)

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Cristina Pignotti, Emmanuel Trélat. Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays. Communications in Mathematical Sciences, 2018, 16 (8), pp.2053--2076. ⟨hal-01562559v2⟩
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