A GEOMETRIC DERIVATION OF TRANSVERSALITY AND CORNER CONDITIONS OF THE CALCULUS OF VARIATIONS VIA DYNAMIC PROGRAMMING,

Abstract

The report shows how certain well-known geometric facts concerning the gradient of a continuously differentiable function can be used, in conjunction with dynamic programming, to deduce transversality and corner conditions of the calculus of variations. The reader is assumed to be familiar with algebraic and geometric aspects of optimal control theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0642405

Entities

People

  • S. E. Dreyfus

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computer Programming
  • Control Theory
  • Dynamic Programming
  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Space Exploration and Orbital Mechanics.