THE BRACHISTOCHRONE PROBLEM SOLVED BY INVARIANT IMBEDDING, DYNAMIC PROGRAMMING AND QUASILINEARIZATION METHODS.

Abstract

In such fields of current interest as optimal control and orbit determination, non-linear two-point boundary-value problems arise, the numerical solutions for which are difficult to obtain. In this report, some of the useful tools for treating problems of this nature - invariant imbedding, dynamic programming, and quasilinearization are studied by means of the brachistochrone problem. The three approaches are used separately and in combination. Computer programs using MAD language are presented. The results are compared with the classical solutions. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0669496

Entities

People

  • D. Muster
  • M. Z. Lee

Organizations

  • University of Houston

Tags

DTIC Thesaurus Topics

  • Application Software
  • Boundaries
  • Boundary Value Problems
  • Computer Programming
  • Computer Programs
  • Computers
  • Digital Information
  • Dynamic Programming
  • Language

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Science.
  • Game Theory.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers