DYNAMIC PROGRAMMING AND THE COMPUTATIONAL SOLUTION OF FEEDBACK DESIGN CONTROL PROBLEMS

Abstract

This paper indicates how a class of control processes requiring multi-dimensional sequences of functions when treated by the direct methods of dynamic programming can, by means of a transformation familiar to the theory of linear functional equations of differential, difference, or differential- difference type, be reduced to problems involving sequences of functions of one variable in a number of cases, and sequences of functions of two variables in others. These results open the door to a systematic study of nonlinear control processes, with or without time-lags and other types of hereditary behavior, by way of the method of successive approximations.

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Document Details

Document Type
Technical Report
Publication Date
Aug 15, 1957
Accession Number
AD0606525

Entities

People

  • Richard E. Bellman

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Calculus Of Variations
  • Circuit Analysis
  • Circuits
  • Computer Programming
  • Computers
  • Control Systems
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Dynamic Programming
  • Equations
  • Intervals
  • Linear Differential Equations
  • Linear Systems
  • Nonlinear Systems
  • Sequences
  • Terminals

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Database Systems and Applications
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)