Abstract The problem of existence of solutions to the problems of optimum control with a singularity condition H(x, ψ, u) ≡ const, ∀u ∈ ω ⊂ U is studied. The necessary conditions of appearance of the singular control, as well as time location and the numbers of singular sections of the trajectories of a controlled object under consideration, are obtained. The numerical algorithms of solving the problems with the condition of singularity of control are constructed. The widely known problem of optimum control of the motion of a high-altitude rocket probe is also considered, and it is proved that in this problem no intermediate section can exist in the law of variation of the thrust. The results of numerical experiments are presented together with their relative evaluation.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Theory of Singular Optimal Controls with Applications to Space Flight Mechanics


    Beteiligte:

    Erschienen in:

    Cosmic Research ; 42 , 3 ; 289-299


    Erscheinungsdatum :

    2004-05-01


    Format / Umfang :

    11 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Theory of Singular Optimal Controls with Applications to Space Flight Mechanics

    Shakhverdyan, A. S. / Shakhverdyan, S. V. | Online Contents | 2004


    Singular Perturbations in Flight Mechanics

    Calise, A. J. | British Library Conference Proceedings | 1994


    Nonlinearity Index Theory for Flight Mechanics Applications

    Omran, A. / Newman, B. | British Library Conference Proceedings | 2010


    Nonlinearity Index Theory for Flight Mechanics Applications

    Omran, Ashraf / Newman, Brett | AIAA | 2010


    Stability Theory Methods in Singular Problems of Mechanics (Theory and Applications)

    Kuzmina, L. K. | British Library Conference Proceedings | 2001