ESTIMATION OF PARAMETERS IN DIFFERENTIAL EQUATIONS FOR EXPERIMENTAL DATA,

Abstract

Estimator equations for the estimation of parameters in differential equations from noisy data are obtained by the combined use of the classical calculus of variations and invariant imbedding. Both input and output noises are allowed in obtaining the noisy measurements. As a numerical example, the concentration of the reactant in a chemical reaction is estimated by the estimators. These estimator equations can be used to obtain the parameters or coefficients of differential equations from the noisy measurements of the dependent variables. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0684743

Entities

People

  • E. Stanley Lee

Organizations

  • Kansas State University

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Chemical Reactions
  • Coefficients
  • Differential Equations
  • Equations
  • Estimators
  • Experimental Data
  • Measurement

Fields of Study

  • Mathematics

Readers

  • Analytical Chemistry
  • Approximation Theory.
  • Linear Algebra