The Numerical Optimization of Distributed Parameter Systems by Gradient Methods

Abstract

The numerical optimization of distributed parameter systems is considered. In particular the adaptation of the Davidon method, the conjugate gradient method, and the best step steepest descent method to distributed parameters is presented. The class of problems with quadratic cost functionals and linear dynamics is investigated. Penalty functions are used to render constrained problems amenable to these gradient techniques. Also considered is an analysis of the effects of discretization of continuous distributed parameter optimal control problems. Estimates of discretization error bounds are established and a measure of the suboptimality of the numerical solution is presented.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0740338

Entities

People

  • Anthony N. Michel
  • Douglas E. Cornick

Organizations

  • Iowa State University

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programming
  • Computers
  • Difference Equations
  • Differential Equations
  • Eigenvectors
  • Engineering
  • Functional Analysis
  • Hilbert Space
  • Integral Equations
  • Numerical Analysis
  • Partial Differential Equations
  • Theorems
  • Wave Equations

Fields of Study

  • Engineering

Readers

  • Operations Research
  • Statistical inference.