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Lagrange-Hamilton Model For Control Affine Systems With Positive Homogeneous Cost

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  • Liviu Popescu

Abstract

In this paper we give a new technique to obtain the Hamiltonian function in order to solve the driftless control affine systems (distributional systems) with positive homogeneous costs. The method consists by using the Lagrange multipliers and Legendre transformation associated to a singular Lagrangian. This method could be an alternative to the classical Pontryagin Maximum Principle.

Suggested Citation

  • Liviu Popescu, 2010. "Lagrange-Hamilton Model For Control Affine Systems With Positive Homogeneous Cost," Annals of University of Craiova - Economic Sciences Series, University of Craiova, Faculty of Economics and Business Administration, vol. 1(38), pages 257-268, May.
    • Handle: RePEc:aio:aucsse:v:1:y:2010:i:11:p:257-268
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    File URL: http://feaa.ucv.ro/AUCSSE/0038v1-0027.pdf
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    References listed on IDEAS

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    1. Suresh P. Sethi, 2021. "Optimal Control Theory," Springer Texts in Business and Economics, Springer, edition 4, number 978-3-030-91745-6, March.
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    Cited by:

    1. Popescu Liviu, 2011. "A Study On Control Affine Systems With Degenerate Cost," Revista Tinerilor Economisti (The Young Economists Journal), University of Craiova, Faculty of Economics and Business Administration, vol. 1(16), pages 117-122, April.
    2. Liviu Popescu & Radu Criveanu, 2012. "A Study On Distributional Systems," Annals of University of Craiova - Economic Sciences Series, University of Craiova, Faculty of Economics and Business Administration, vol. 2(40), pages 96-103.

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    More about this item

    Keywords

    control affine systems; positive homogeneous cost; Lagrange-Hamilton formalism; 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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