THE QUADRATIC CRITERION FOR DISTRIBUTED SYSTEMS.

Abstract

The article explores the applicability of the quadratic criterion of optimality to the control of distributed parameter systems or, alternatively, to differential equations in a Hilbert space. It is shown that such application is indeed possible and, perhaps more important from the engineering point of view, that the optimal controls thus found are limits of optimal controls corresponding to finite dimensional models of the distributed or infinite dimensional, system. The theory is first developed in an abstract setting and then applied to specific examples. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1968
Accession Number
AD0679487

Entities

People

  • D. L. Lukes
  • D. L. Russell

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Differential Equations
  • Engineering
  • Equations
  • Hilbert Space
  • Mathematics

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers