Di Marco, Silvia C.; González, Roberto L. V. Numerical procedure for minimizing the maximum cost. (Une procédure numérique pour la minimisation du coût maximum.) (French. Abridged English version) Zbl 0837.65066 C. R. Acad. Sci., Paris, Sér. I 321, No. 7, 869-873 (1995). Summary: We consider the numerical solution of a minimax optimal control problem, where the cost to be minimized is the maximum of a function which depends on the state and the control. We present an approximation method which employs both discretization on time and on spatial variables. In this way, we obtain a computational implementable fully discrete problem. We give an optimal estimate for the error between the approximated solution and the optimal cost of the original problem. Cited in 1 Document MSC: 65K10 Numerical optimization and variational techniques 49M15 Newton-type methods 49J15 Existence theories for optimal control problems involving ordinary differential equations 49J35 Existence of solutions for minimax problems Keywords:error estimate; finite elements; minimax optimal control problem PDFBibTeX XMLCite \textit{S. C. Di Marco} and \textit{R. L. V. González}, C. R. Acad. Sci., Paris, Sér. I 321, No. 7, 869--873 (1995; Zbl 0837.65066)