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A Solution to Three-Dimensional Findpath Problem
by
Bibhya Nand Sharma
University of the South Pacific
Coauthors: Jito Vanualailai (University of the South Pacific)
In this paper, the second method of Liapunov is used to solve the three-dimensional findpath problem, which is basically the geometric problem of finding a collision-free path for a moving solid object among other moving and fixed solid objects. A Liapunov function is proposed for an n-point system in three-dimensional space. Computer simulations are carried out that clearly show the effectiveness of the proposed Liapunov function and its feedback controllers.
Date received: September 11, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahf-08.