Title :
A General Collision-Avoiding Flocking Framework
Author :
Cucker, Felipe ; Dong, Jiu-Gang
Author_Institution :
Dept. of Math., City Univ. of Hong Kong, Kowloon, China
fDate :
5/1/2011 12:00:00 AM
Abstract :
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.
Keywords :
collision avoidance; Lipschitz continuous; collision-avoiding flocking; coupling force; Convergence; Couplings; Differential equations; Force; Kinetic theory; Mathematical model; $N$-dimensional Euclidean space; Lipschitz continuous;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2107113
