SOME REMARKS CONCERNING THE NEWTON-RAPHSON ALGORITHM AND ABNORMALITY IN ATMOSPHERIC ENTRY CONTROL PROBLEMS,

Abstract

A connection is made between the appearance of abnormal trajectories in optimal control problems and convergence difficulties of the Newton-Raphson iterative technique in producing numerical solutions to the nonlinear two-point boundary value problem in these cases. The connection is displayed in the context of a particular time-fixed optimal control problem involving an atmospheric entry vehicle for which numerical evidence has been obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0630862

Entities

People

  • F. Sobierajski
  • M. Falco

Organizations

  • Grumman

Tags

DTIC Thesaurus Topics

  • Abnormalities
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Mathematics
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.