THE APPLICATION OF DYNAMIC PROGRAMMING TO A LINEAR TIME-VARYING SYSTEM,

Abstract

This Memorandum discusses the application of dynamic programming to dynamical systems that can be described by linear time-varying differential equations. Two different mathematical formulations of the problem are discussed. One method is based on defining a relative system state vector and the other on defining a combined system state vector. It is shown how the two expressions obtained for the optimal control vector are equivalent. The two approaches are discussed in terms of a satellite rendezvous problem, and some computational formulas are derived for computing an approximate solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0602417

Entities

People

  • F. T. Smith

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Computer Programming
  • Differential Equations
  • Dynamic Programming
  • Equations
  • Mathematics
  • Rendezvous

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Operations Research
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space