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A Study On Control Affine Systems With Positive Homogeneous Cost And No Constant Rank Of Distribution

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  • Assoc. Prof. Popescu Liviu Ph.D

    (University of Craiova Faculty of Economics and Business Administration Craiova, Romania)

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    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.

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    File URL: http://feaa.ucv.ro/RTE/015-13.pdf
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    Bibliographic Info

    Article provided by University of Craiova, Faculty of Economics and Business Administration in its journal Revista Tinerior Economisti(The Young Economists Journal).

    Volume (Year): 1 (2010)
    Issue (Month): 15 (November)
    Pages: 107-114

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    Handle: RePEc:aio:rteyej:v:1:y:2010:i:15:p:107-114

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    Related research

    Keywords: drift less control affine system; positive homogeneous cost; Pontryagin maximum principle.;

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