Flock Diameter Control in a Collision-Avoiding Cucker-Smale Flocking Model
Both the original Cucker-Smale flocking model and a more recent version with collision avoidance do not have any control over how tightly the system of agents flock, which is measured by the flock diameter. In this paper, a cohesive force is introduced to potentially reduce the flock diameter. This cohesive force is similar to the repelling force used for collision avoidance. Simulation results show that this cohesive force can reduce or control the flock diameter. Furthermore, we show that for any set of model parameters, the cohesive force coefficient is the single determining factor of this diameter. The ability of this modified collision-avoiding Cucker-Smale model to provide control of the flock diameter could have significance when applied to robotic flocks.
KeywordsFlock diameter control Flocking Cucker-Smale model Collision avoidance
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