Inverse Problems for Nonlinear Delay Systems

Abstract

We consider inverse or parameter estimation problems for general nonlinear nonautonomous dynamical systems with delays. The parameters may be from a Euclidean set as usual, may be time dependent coefficients or may be probability distributions across a population as arise in aggregate data problems. Theoretical convergence results for finite dimensional approximations to the systems are given. Several examples are used to illustrate the ideas and computational results that demonstrate efficacy of the approximations are presented.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 2011
Accession Number
ADA556798

Entities

People

  • H. Thomas Banks
  • Karyn Sutton
  • Keri Rehm

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Acquired Immune Deficiency Syndrome
  • Air Force
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Convergence
  • Differential Equations
  • Hiv Infections
  • Inverse Problems
  • Mathematical Analysis
  • Mathematical Models
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Analysis
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Statistical inference.