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By Gupta S. N.

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Extra resources for A Chance Constrained Approach to Fractional Programming with Random Numerator

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This also corresponds to a relatively tight domain of convergence of the multiple shooting method if neighboring boundary value problems with varying terminal conditions are to be solved by a homotopy method. See also Kugelmann, and Pesch (1990b). 38 H . J . Pesch CONCLUSIONS The numerical results for the re-entry problems with a second order state constraint and a control constraint show that the feedback scheme is able to compensate flight path disturbances of a size which is mostly considerably larger than those occurring in realistic missions.

2 for the empty H155. 6 shows the corresponding trajectory. The penalty in payload - without considering the mass necessary for the AV impulse - i s given in Table 4. in the Pacific at approximately -80° longitude and 5° latitude which would close to the South American coast. be too CONCLUSIONS Within TOMP the NLP code SLSQP (Jänsch, Kraft, Well, 1989) is used. Based on the results obtained in this paper the code converges from relatively bad initial estimates and is insensitive with respect to modeling weaknesses.

1 1 . Controllability region for the heading angle Fig. 12. Controllability region for the flight path angle < H L ' Fig. 14. Controllability region for the altitude In the first interval from 0 s to about 1000 s the controllability regions are relatively small, because of two reasons: In the first part of the flight maneuvre the vehicle flies at supersonic speed of more than 5 k m / s preventing the successful compensation of large deviations and on the other hand, this is the interval in which the constraint becomes active.

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A Chance Constrained Approach to Fractional Programming with Random Numerator by Gupta S. N.

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