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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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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

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