Paper derives set of necessary conditions for singular arcs; classical Weierstrass and Legendre tests as well as maximum principle fail to determine nature of extremal path; second variation of function to be minimized is evaluated for defined control variations; dominant term of power series in tau, parameter of control variation which is allowed to approach zero in limit, is calculated and examined for semidefiniteness; should this term be zero for particular problem, new control variation is chosen and procedure repeated; results of analysis are applied to problem of rocket flight in inverse square law field.


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    Titel :

    Necessary conditions for singular extremals


    Weitere Titelangaben:

    AIAA J


    Beteiligte:
    Kopp, R.E. (Autor:in) / Moyer, H.G. (Autor:in)

    Erschienen in:

    AIAA Journal ; 3 , n 8


    Erscheinungsdatum :

    1965


    Format / Umfang :

    6 pages


    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch


    Schlagwörter :