Accession Number : AD0683538

Title :   THE CONSTRUCTION OF ALGORITHMS FOR THE APPROXIMATION OF CERTAIN OPTIMAL CONTROL PROBLEMS,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Ulm,S.

Report Date : 22 OCT 1968

Pagination or Media Count : 19

Abstract : The solution to certain optimum control problems can be reduced to problems of finding the absolute minima of certain functionals in function spaces. For an approximate solution to the latter problems use can be made of algorithms developed for the solution of nonlinear equations. In previous works by other authors Newton's method and a particular variant of the method of gradients were generalized for the solution of optimum control problems. On the basis of methods of functional analysis the present article gives a more general scheme for the construction of methods of this type for the solution of certain optimum control problems.

Descriptors :   (*FUNCTIONAL ANALYSIS, NONLINEAR DIFFERENTIAL EQUATIONS), (*CONTROL SYSTEMS, OPTIMIZATION), PARTIAL DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS), HILBERT SPACE, ALGORITHMS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE