Implicit Lagrangian equations and the mathematical modeling of physical systems

Luc Moreau, Arjan van der Schaft

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    1 Citation (Scopus)
    30 Downloads (Pure)

    Abstract

    We introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin maximum principle) to a class of implicit Lagrangian systems (a notion which is introduced in the paper). We apply this to the mathematical modeling of interconnected mechanical systems and mechanical systems with singularities.
    Original languageUndefined
    Title of host publicationProceedings of the 41st IEEE Conference on Decision and Control
    Place of PublicationLas Vegas, Nevada, U.S.A.
    PublisherIEEE
    Pages1651-1656
    Number of pages6
    ISBN (Print)0-7803-7516-5
    Publication statusPublished - Dec 2002
    Event41st IEEE Conference on Decision and Control, CDC 2002 - Las Vegas, United States
    Duration: 10 Dec 200213 Dec 2002
    Conference number: 41

    Publication series

    Name
    PublisherIEEE
    Volume2
    ISSN (Print)0191-2216

    Conference

    Conference41st IEEE Conference on Decision and Control, CDC 2002
    Abbreviated titleCDC
    CountryUnited States
    CityLas Vegas
    Period10/12/0213/12/02

    Keywords

    • Lagrangian and Hamiltonian dynamics
    • EWI-16739
    • Physical Systems
    • Dirac structures
    • Modeling
    • METIS-210902
    • IR-69140

    Cite this

    Moreau, L., & van der Schaft, A. (2002). Implicit Lagrangian equations and the mathematical modeling of physical systems. In Proceedings of the 41st IEEE Conference on Decision and Control (pp. 1651-1656). Las Vegas, Nevada, U.S.A.: IEEE.