Feedback Control of a Hyperbolic Partial-Differential Equation with Viscoelastic Damping,

Abstract

In this paper we consider an approximation scheme for an optimal control problem described by a hyperbolic partial-functional differential equation used to model the elastic motion of a viscoelastic body of Boltzmann type. The method is based on combined finite element/averaging approximations. We present theoretical and numerical results for a problem with quadratic cost functional.

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Document Details

Document Type
Technical Report
Publication Date
Apr 15, 1988
Accession Number
ADA192896

Entities

People

  • John A. Burns
  • R. H. Fabiano

Organizations

  • Brown University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Boundaries
  • Cauchy Problem
  • Constitutive Equations
  • Convergence
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Functional Analysis
  • Hilbert Space
  • Integrals
  • Mathematics
  • Partial Differential Equations
  • Sequences
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.