학술논문

Cyclic pursuit in three dimensions
Document Type
Conference
Source
49th IEEE Conference on Decision and Control (CDC) Decision and Control (CDC), 2010 49th IEEE Conference on. :7141-7146 Dec, 2010
Subject
Robotics and Control Systems
Signal Processing and Analysis
Trajectory
Dynamics
Manifolds
Mathematical model
Geometry
USA Councils
Equations
Language
ISSN
0191-2216
0743-1546
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.