THEORY OF OPTIMUM DISCRETE TIME SERIES,

Abstract

Discrete time systems whose dynamics are represented by recursion relations in the form of finite difference equations are considered. In addition, the control vectors and state vectors may be subject to inequality constraints. The control vectors are to be determined so as to satisfy the constraints and obtain an optimum value for a given function of the control and state vectors. This report gives a maximum principle for this type of discrete problem, and shows its relationship to the Kuhn-Tucker conditions for a finite-dimensional optimization problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0623751

Entities

People

  • B. W. Jordan
  • E. Polak
  • H. Halkin
  • J. B. Rosen

Tags

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Dynamics
  • Equations
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Optimization

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Operations Research