A STUDY ON CONTROL AFFINE SYSTEMS WITH POSITIVE HOMOGENEOUS COST AND NO CONSTANT RANK OF DISTRIBUTION*

The paper deals with the study of a drift less control affine system with positive homogeneous cost of Randers type in the case of bracket generating distribution of no constant rank. We use the Pontryagin Maximum Principle in order to find the general solution. In the particular case of quadratic cost the optimal trajectories of the distributional system are the geodesics of the so called sub-Riemannian geometry.

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Year of publication:	2010
Authors:	Assoc. Prof. Popescu Liviu Ph.D
Published in:	Revista Tinerilor Economisti (The Young Economists Journal). - Facultatea de Economie şi Administrarea Afacerilor, ISSN 1583-9982. - Vol. 1.2010, 15, p. 107-114
Publisher:	Facultatea de Economie şi Administrarea Afacerilor
Subject:	drift less control affine system \| positive homogeneous cost \| Pontryagin maximum principle

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Extent:	application/pdf
Type of publication:	Article
Classification:	C02 - Mathematical Methods ; C6 - Mathematical Methods and Programming
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010819420