Accession Number : AD0673185

Title :   A METHOD FOR SOLVING OPTIMAL PROBLEMS (METOD RESHENIYA OPTIMALNYKH ZADACH),

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Bolonkin,A. A.

Report Date : 08 SEP 1967

Pagination or Media Count : 41

Abstract : A system described by a finite number of ordinary differential equations is taken for which the optimum problem is defined. Values are found which minimize a certain performance functional. The optimum problem formulated in this manner differs from the classical variational problem: not only the control function, but also the structural parameters are to be optimized and the study of the optimum problem is carried out in the class of functions whose first derivatives with respect to an independent variable can assume infinite values. A theorem is proved which establishes sufficient conditions under which the performance functional has an absolute minimum. (Author)

Descriptors :   (*PROBLEM SOLVING, VECTOR ANALYSIS), THEOREMS, DIFFERENTIAL EQUATIONS, FUNCTIONS(MATHEMATICS), OPTIMIZATION, OPERATIONS RESEARCH, NONLINEAR SYSTEMS, USSR

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE