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

Assoc. Prof. Popescu Liviu Ph.D
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Assoc. Prof. Popescu Liviu Ph.D: University of Craiova Faculty of Economics and Business Administration Craiova, Romania

Revista Tinerilor Economisti (The Young Economists Journal), 2010, vol. 1, issue 15, 107-114

Abstract: 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.

Keywords: drift less control affine system; positive homogeneous cost; Pontryagin maximum principle. (search for similar items in EconPapers)
JEL-codes: C02 C6 (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:aio:rteyej:v:1:y:2010:i:15:p:107-114

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