A Manifold Imbedding Algorithm for Optimization Problems,

Abstract

An algorithm is described for the solution of two-point boundary-value problems arising in optimization problems. The one-parameter imbedding used affects the initial and terminal manifolds and leaves the system equations unchanged. In contrast to an existing imbedding technique, the intermediate problems in this method have a physical meaning, which facilitates the choice of a proper imbedding. A reduction of computation time is also achieved and the algorithm applies to a wider variety of optimization problems. One of the numerical examples presented is the minimization of the transfer time between Earth and Mars. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0723441

Entities

People

  • Yves Raymond Hontoir

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computational Complexity
  • Computations
  • Contrast
  • Differential Equations
  • Equations
  • Heuristic Methods
  • Mathematical Analysis
  • Mathematics
  • Optimization
  • Terminals

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Theoretical Analysis.