A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations.

Abstract

With use of the method of spherical means the author is able to show that control processes modelled by the wave equation in a domain omega is a subset of (R sup n) are exactly controllable in finite time by control forces applied at the boundary of the spatial region omega. The introduction of certain concepts from harmonic analysis together with use of the Fourier transform enables one to apply this result to obtain finite time exact controllability theorems for processes modelled by the heat equation in the same region omega with controls of the same type. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 16, 1973
Accession Number
AD0765758

Entities

People

  • David L. Russell

Organizations

  • University of Wisconsin Madison Department of Mathematics

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Harmonic Analysis
  • Mathematical Analysis
  • Partial Differential Equations
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.
  • Robotics and Automation.