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

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)

Document Details

Document Type
Technical Report
Publication Date
Sep 08, 1967
Accession Number
AD0673185

Entities

People

  • A. A. Bolonkin

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Information Retrieval