A Finite Difference Technique for Solving Optimization Problems Governed by Linear Functional Differential Equations.

Abstract

Aspects of the approximation and optimal control of systems governed by linear retarded nonautonomous functional differential equations (FDE) are considered. First, certain FDE are shown to be equivalent to corresponding abstract ordinary differential equations (ODE). Next, it is demonstrated that these abstract ODE may be approximated by difference equations in finite dimensional spaces. The optimal control problem for systems governed by FDE is then reduced to a sequence of mathematical programming problems. Finally, numerical results for two examples are presented and discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1978
Accession Number
ADA053738

Entities

People

  • Douglas C. Reber

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Banach Space
  • Computers
  • Consistency
  • Convex Sets
  • Difference Equations
  • Differential Equations
  • Equations
  • Equations Of State
  • Functional Analysis
  • Hypotheses
  • Integral Equations
  • Mathematical Programming
  • Numerical Analysis
  • Theorems
  • Topology

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.
  • Underwater engineering and Marine Technology.

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  • Space