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

Author

Listed:
  • Assoc. Prof. Popescu Liviu Ph.D

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

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.

Suggested Citation

  • Assoc. Prof. Popescu Liviu Ph.D, 2010. "A Study On Control Affine Systems With Positive Homogeneous Cost And No Constant Rank Of Distribution," Revista Tinerilor Economisti (The Young Economists Journal), University of Craiova, Faculty of Economics and Business Administration, vol. 1(15), pages 107-114, November.
    • Handle: RePEc:aio:rteyej:v:1:y:2010:i:15:p:107-114
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    Keywords

    drift less control affine system; positive homogeneous cost; Pontryagin maximum principle.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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