We consider the well known finite-dimensional Cucker-Smale system, modelling interacting collective dynamics and their possible convergence to consensus. The objective of this paper is to study the influence of time delays in the general model on the convergence to consensus. By a Lyapunov functional approach, we establish convergence results to consensus for symmetric and nonsymmetric communication weights under some structural conditions.
Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays
C. Pignotti;
2018-01-01
Abstract
We consider the well known finite-dimensional Cucker-Smale system, modelling interacting collective dynamics and their possible convergence to consensus. The objective of this paper is to study the influence of time delays in the general model on the convergence to consensus. By a Lyapunov functional approach, we establish convergence results to consensus for symmetric and nonsymmetric communication weights under some structural conditions.File in questo prodotto:
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