INVARIANT IMBEDDING AND THE SIMPLEST PROBLEM IN THE CALCULUS OF VARIATIONS,

Abstract

The report gives a new method for transforming a minimization problem directly into an initial-value Cauchy problem, readily solved by analog or digital computers. It is based on a new conceptual approach to the calculus of variations that does not use Euler equations, the fundamental lemma, Bellman's optimality principle, or Pontryagin's maximum principle. The task is to minimize an integral subject to a single constraint. The method is based on the disappearance of the first variation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1968
Accession Number
AD0678868

Entities

People

  • R. Sridhar
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Cauchy Problem
  • Computers
  • Digital Computers
  • Equations
  • Euler Equations
  • Integrals
  • Mathematics
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Theoretical Analysis.