AbstractThis paper presents the necessary conditions for solving Chebyshev minimax (or maximax) problems with bounded control. The jump conditions obtained are applicable to problems with single or multiple maxima. By using Contensou domain of maneuverability, it is shown that when the maxima are isolated single points the control is generally continuous at the jump point in the minimax problems and discontinuous in the maximax problems in which the first time derivative of the maximax function contains the control variable. The theory is applied to the problem of maximizing the flight radius in a closed circuit glide of a hypervelocity vehicle and to a maximax optimal control problem in which the control appears explicitly with the first time derivative of the maximax function.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Necessary conditions for maximax problems with application to aeroglide of hypervelocity vehicles


    Contributors:
    Vinh, Nguyen X. (author) / Lu, Ping (author)

    Published in:

    Acta Astronautica ; 15 , 6-7 ; 413-420


    Publication date :

    1987-01-06


    Size :

    8 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Optimum maneuvers of hypervelocity vehicles

    Busemann, A. / Vinh, N. X. / Kelley, G. F. | TIBKAT | 1968


    Optimum Maneuvers of Hypervelocity Vehicles

    A. Busemann / G. F. Kelley / N. X. Vinh | NTIS | 1968


    Thermostructural concepts for hypervelocity vehicles

    SHIH, PETER K. / PRUNTY, JACK / MUELLER, RICHARD N. | AIAA | 1991


    Thermostructural concepts for hypervelocity vehicles

    SHIH, PETER / PRUNTY, JACK / MUELLER, RICHARD | AIAA | 1988


    Optimum maneuvers of hypervelocity vehicles

    Busemann, A. / Kelley, G. F. / Vinh, N. X. | NTRS | 1968