Representation of Feedback Operators for Hyperbolic Systems.

Abstract

We consider the problem of obtaining integral representation of feedback operators for damped hyperbolic control systems. We show that for the wave equation with ICelvin-Voigt damping and non-compact input operator, the feedback gain operator is Hilbert-Schmidt. This result is then used to provide an explicit integral representation for the feedback operator in terms of functional gains. Numerical results are given to illustrate the role that damping plays in the smoothness of these gains. (AN)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1995
Accession Number
ADA297193

Entities

People

  • Belinda B. King
  • John A. Burns

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Attenuation
  • Control Systems
  • Convergence
  • Differential Equations
  • Engineering
  • Equations
  • Feedback
  • Formulas (Mathematics)
  • Gain
  • Identities
  • Integrals
  • Mathematics
  • Partial Differential Equations
  • Riccati Equation
  • Three Dimensional
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Electronics Engineering
  • Linear Algebra