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|Title:||On consensus in the Cucker--Smale type model on isolated time scales|
Malinowska, Agnieszka B.
|Keywords:||Discrete dynamical systems|
Time scale calculus
|Publisher:||American Institute of Mathematical Sciences|
|Abstract:||This article addresses a consensus phenomenon in a Cucker-Smale model where the magnitude of the step size is not necessarily a constant but it is a function of time. In the considered model the weights of mutual influences in the group of agents do not change. A sufficient condition under which the proposed model tends to a consensus is obtained. This condition strikingly demonstrates the importance of the graininess function in a consensus phenomenon. The results are illustrated by numerical simulations.|
|Appears in Collections:||SCG - Artigos|
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