OPTIMAL REGULATION OF LINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH FINITE DIMENSIONAL CONTROLS.

Abstract

Finite dimensional control of a class of linear symmetric hyperbolic systems of partial differential equations is considered. The control criterion is minimization of the energy of the system at a given time T after the exercise of control is begun. It is shown that the optimal control exists and satisfies a maximum principle. A type of normality condition is discussed. It is shown that a class of boundary value control problems can be treated in this setting. Some numerical procedures are suggested. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0620104

Entities

People

  • David L. Russell

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Data Science
  • Differential Equations
  • Equations
  • Information Science
  • Mathematical Analysis
  • Mathematics
  • Normality
  • Partial Differential Equations
  • Real Variables
  • Regulations

Fields of Study

  • Mathematics

Readers

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