IDEAS home Printed from https://ideas.repec.org/a/aio/aucsse/v1y2010i11p257-268.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://feaa.ucv.ro/AUCSSE/0038v1-0027.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Suresh P. Sethi, 2021. "Optimal Control Theory," Springer Texts in Business and Economics, Springer, edition 4, number 978-3-030-91745-6, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chahim, M. & Hartl, R.F. & Kort, P.M., 2011. "The Deterministic Impulse Control Maximum Principle in Operations Research : Necessary and Sufficient Optimality Conditions (replaces CentER DP 2011-052)," Discussion Paper 2011-133, Tilburg University, Center for Economic Research.
    2. M. Chahim & D. Grass & R. F. Hartl & P. M. Kort, 2017. "Product innovation with lumpy investment," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(1), pages 159-182, March.
    3. Cheryl Gaimon & Gülru F. Özkan & Karen Napoleon, 2011. "Dynamic Resource Capabilities: Managing Workforce Knowledge with a Technology Upgrade," Organization Science, INFORMS, vol. 22(6), pages 1560-1578, December.
    4. Engwerda, J.C., 2007. "Necessary and Sufficient Conditions for Solving Cooperative Differential Games," Other publications TiSEM 048f8662-e7ce-48af-9e5a-8, Tilburg University, School of Economics and Management.
    5. Bensoussan, Alain & Chutani, Anshuman & Sethi, Suresh, 2009. "Optimal Cash Management Under Uncertainty," MPRA Paper 19896, University Library of Munich, Germany.
    6. Carrasco, Luis Roman & Baker, R & MacLeod, A & Knight, J. D. & Mumford, J. D., 2009. "Optimal and robust control of invasive alien species spreading in homogeneous landscapes," MPRA Paper 57757, University Library of Munich, Germany.
    7. Raouf Boucekkine & Blanca Martínez & J. Ramon Ruiz-Tamarit, 2018. "Optimal Population Growth as an Endogenous Discounting Problem: The Ramsey Case," Lecture Notes in Economics and Mathematical Systems, in: Gustav Feichtinger & Raimund M. Kovacevic & Gernot Tragler (ed.), Control Systems and Mathematical Methods in Economics, pages 321-347, Springer.
    8. X. He & S. P. Sethi, 2008. "Dynamic Slotting and Pricing Decisions in a Durable Product Supply Chain," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 363-379, May.
    9. Raouf Boucekkine & David Croix & Omar Licandro, 2004. "MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 151-179.
    10. Valery Meshalkin & Vladimir Bobkov & Maksim Dli & Vincenzo Dovì, 2019. "Optimization of Energy and Resource Efficiency in a Multistage Drying Process of Phosphate Pellets," Energies, MDPI, vol. 12(17), pages 1-17, September.
    11. Y. Tsur & A. Zemel, 2007. "On the Dynamics of Knowledge-Based Economic Growth," Journal of Optimization Theory and Applications, Springer, vol. 135(1), pages 101-115, October.
    12. Dominique Philippe Martin & Christian Picceu, 2007. "Outils de gestion et pilotage dynamique de l’action collective," Revue Finance Contrôle Stratégie, revues.org, vol. 10(3), pages 75-110, September.
    13. Oyama, Daisuke, 2009. "History versus expectations in economic geography reconsidered," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 394-408, February.
    14. Bolei Di & Andrew Lamperski, 2022. "Newton’s Method, Bellman Recursion and Differential Dynamic Programming for Unconstrained Nonlinear Dynamic Games," Dynamic Games and Applications, Springer, vol. 12(2), pages 394-442, June.
    15. Kim Kaivanto & Alan Zinober, 2015. "When are capital structure decisions nonseparable from production planning?," Working Papers 96496260, Lancaster University Management School, Economics Department.
    16. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, "undated". "Optimal Firm Behavior under Environmental Constraints," Working Papers 2008_11, Business School - Economics, University of Glasgow.
    17. Dawid, Herbert & Greiner, Alfred & Zou, Benteng, 2010. "Optimal foreign investment dynamics in the presence of technological spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 296-313, March.
    18. Mark Gersovitz & Jeffrey S. Hammer, 2004. "The Economical Control of Infectious Diseases," Economic Journal, Royal Economic Society, vol. 114(492), pages 1-27, January.
    19. Shen, Meng & Li, Xiang & Lu, Yujie & Cui, Qingbin & Wei, Yi-Ming, 2021. "Personality-based normative feedback intervention for energy conservation," Energy Economics, Elsevier, vol. 104(C).
    20. Arrow, Kenneth J. & Bensoussan, Alain & Feng, Qi & Sethi, Suresh P., 2008. "The Genuine Saving Criterion and the Value of Population in an Economy with Endogenous Population Changes," MPRA Paper 14622, University Library of Munich, Germany.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:aio:aucsse:v:1:y:2010:i:11:p:257-268. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Anca Bandoi The email address of this maintainer does not seem to be valid anymore. Please ask Anca Bandoi to update the entry or send us the correct address (email available below). General contact details of provider: https://edirc.repec.org/data/fecraro.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.