A Unified Framework for Approximation in Inverse Problems for Distributed Parameter Systems.

Abstract

A theoretical framework can be used to treat approximation techniques for very general classes of parameter estimation problems involving distributed systems that are either first or second order in time. Using the approach developed, one can obtain both convergence and stability (continuous dependence of parameter estimates with respect to the observations) under very weak regularity and compactness assumptions on the set of admissible parameters. This unified theory can be used for many problems found in the recent literature and in many cases offers significant improvements to existing results. Keywords: Approximation; Parameter estimation; Partial differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1988
Accession Number
ADA192757

Entities

People

  • H. Thomas Banks
  • Kazufumi Ito

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boltzmann Equation
  • Composite Materials
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Convergence
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Equations
  • Flexible Structures
  • Hilbert Space
  • Inverse Problems
  • Mechanics
  • Partial Differential Equations
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.