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Flocking behavior for a class of Cucker-Smale model with a perturbation
Hou Gang-Ling,Ge Bin,Zhou Kang
Keywords:Flocking behavior, Perturbation, Leader, Cucker-Smale model.
      In this paper, we study a Cucker-Smale-type system with a perturbation in which agents interact with each other by given communication weights. By using a Lyapunov functional approach and some induction arguments we will prove that every agent flocks to the leader, and the flocking of the model depends on the perturbed conditions and initial conditions. Finally, we also provide several numerical examples and compare them with analytical results.