In this chapter we will look at some applications of the Euler-Lagrange theorem. The theorem transforms the Problem of Bolza into a set of differential equations and attendant boundary conditions. In some cases, simple closed-form solutions are available which completely solve the problem. In other cases, numerical methods are required to solve the “two-point boundary-value problem.” In some instances we find that the Euler-Lagrange theorem does not supply enough conditions to determine the optimal control law. In such cases we appeal to another theorem (the Weierstrass condition or Minimum Principle, discussed in Chap. 5) to solve the problem.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Application of the Euler-Lagrange Theorem


    Weitere Titelangaben:

    Space Technology Library


    Beteiligte:


    Erscheinungsdatum :

    2013-09-18


    Format / Umfang :

    34 pages




    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    The Euler-Lagrange Theorem

    Longuski, James M. / Guzmán, José J. / Prussing, John E. | Springer Verlag | 2013


    ANALYSIS OF ROCKET JET PARTICULATE USING EULER-LAGRANGE AND EULER-EULER APPROACHES

    Fontes, Douglas H. / Mikkelsen, Dana / Kinzel, Michael P. | TIBKAT | 2020


    Analysis of Rocket Jet Particulate using Euler-Lagrange and Euler-Euler Approaches

    Fontes, Douglas H. / Mikkelsen, Dana / Kinzel, Michael P. | AIAA | 2020


    Euler-Lagrange Optimal Control for Symmetric Projectiles

    Burchett, Bradley T. / Nash, Austin L. | AIAA | 2015