Robustness of Cucker–Smale flocking model


Take into account a system of autonomous interacting agents moving in space, adjusting every own velocity as a weighted mean of the relative velocities of the opposite agents. In order to test the robustness of the model, the authors assume that each try of agents, at each time step, can fail to attach with certain likelihood, the failure rate. This can be a modification of the (deterministic) Flocking model introduced by Cucker and Smale (2007). They prove that, if this random failures are independent in time and space, and have linear or sub-linear distance dependent rate of decay, the characteristic behaviour of flocking exhibited by the first deterministic model, also holds true under random failures, for all failure rates.

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