IEEE Transactions on Automatic Control · 2011 · 127 citations · 14 references
EngineeringBiologyComplex SystemsDynamical SystemsSwarm RoboticsFlock DynamicsSwarm CoordinationCollision Avoidance In Swarm RoboticsCollision-avoiding TrajectoriesFlockingFlocking BehaviorFlocking DynamicsFlocking SimulationInitial State EffectsMulti-agent Collision Avoidance
We prove a general result of collision-avoiding flocking. The underlying model allows several forms of coupling forces and the main result ensures flocking provided the initial state of the population does not show simultaneously very different velocities, very spread positions or very close agents.
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Flocks, herds and schools: A distributed behavioral model
Craig W. Reynolds · 1987 · 7.8K citations
Life Sciences, Biology, Zoology +17
Novel Type of Phase Transition in a System of Self-Driven Particles
Tamás Vicsek, András Czirók, Eshel Ben‐Jacob et al. · Physical Review Letters · 1995 · 7.4K citations · Full text
Felipe Cucker, Steve Smale · IEEE Transactions on Automatic Control · 2007 · 1.8K citations