Solving the three-dimensional findpath problem via Liapunov's method

Sharma, Bibhya N. (2002) Solving the three-dimensional findpath problem via Liapunov's method. The South Pacific Journal of Natural Sciences, 20 . pp. 48-55. ISSN 1013-9877

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Abstract

This paper presents a method of solving the find path problem. Commonly known as the second or direct method of Liapunov, the method is used to solve the geometric problem of finding collision-free tragectories of moving solid objects amongst other fixed and solid moving objects. A Liapunov function is proposed for a n-point dynamical system in three-space. Computer simulations are carried out to show the effectiveness of the proposed Liapunov function-based feedback controllers.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User:	Ms Neha Harakh
Date Deposited:	17 Nov 2002 01:10
Last Modified:	18 Jul 2012 02:24
URI:	https://repository.usp.ac.fj/id/eprint/2706

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