Title :
Cyclic pursuit in three dimensions
Author :
Galloway, K.S. ; Justh, E.W. ; Krishnaprasad, P.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA
Abstract :
Pursuit strategies for interacting particles and feedback laws to execute them are formulated in three dimensions, focusing on constant bearing (CB) pursuit - a case of interest in biology. In the analysis of such laws for the setting of n particles engaged in cyclic pursuit, we reveal interesting invariant manifold dynamics and associated explicit integrability properties, as well as conditions for special solutions such as relative equilibria.
Keywords :
control system synthesis; feedback; CB pursuit; constant bearing pursuit; cyclic pursuit; explicit integrability propery; feedback law; invariant manifold dynamics; relative equilibria; Dynamics; Equations; Geometry; Manifolds; Mathematical model; Trajectory; USA Councils;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717459
