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Variational Forces for Trajectories of Mechanical Systems: The Inverted Pendulum Cart

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F24%3A10256922" target="_blank" >RIV/61989100:27120/24:10256922 - isvavai.cz</a>

  • Result on the web

    <a href="https://pubs.aip.org/aip/acp/article/3094/1/300006/3297184/Variational-forces-for-trajectories-of-mechanical" target="_blank" >https://pubs.aip.org/aip/acp/article/3094/1/300006/3297184/Variational-forces-for-trajectories-of-mechanical</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/5.0210978" target="_blank" >10.1063/5.0210978</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Variational Forces for Trajectories of Mechanical Systems: The Inverted Pendulum Cart

  • Original language description

    A system of functions, variational in sense of the well-known Helmholtz conditions, is used as an external force with the aim to control trajectories of a mechanical system. Prescribing a concrete trajectory or its component, an explicit form of the corresponding control force is determined using a variational structure of the equations of motion. As an example, the inverted pendulum cart in two dimensions is discussed.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    AIP Conference Proceedings. Volume 3094

  • ISBN

    978-0-7354-4954-1

  • ISSN

    0094-243X

  • e-ISSN

    1551-7616

  • Number of pages

    4

  • Pages from-to

    200075

  • Publisher name

    AIP Publishing

  • Place of publication

    Melville

  • Event location

    Herákleion

  • Event date

    Sep 19, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    001244923000225