THE USE OF THE MODIFIED NELDER-MEAD METHOD FOR NUMERICAL SOLUTION OF A SOFT LANDING PROBLEM IN A GAME THEORY FORMULATION

Authors

  • М. Б. Муніб Taurida V.I. Vernadsky National University

Keywords:

Differential game, numerical simulation, the maximum principle, optimization methods, the method of Nelder-Mead

Abstract

The numerical solution of a soft landing problem in a game-theoretic formulation is considered. An algorithm of finding of an optimal control in the equivalent time-optimal problem is proposed. The algorithm is based on a modified Nelder-Mead method for the minimization of the functional obtained by the Pontryagin maximum principle.

Author Biography

М. Б. Муніб, Taurida V.I. Vernadsky National University

Computer Science Department of Taurida V.I. Vernadsky National University

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Issue

Vol. 11 No. 3-4 (2012)

Section

APPLIED DOMAINS AND APPLICATION SOFTWARE