Accession Number : AD0684743

Title :   ESTIMATION OF PARAMETERS IN DIFFERENTIAL EQUATIONS FOR EXPERIMENTAL DATA,

Corporate Author : KANSAS STATE UNIV MANHATTAN INST FOR SYSTEMS DESIGN AND OPTIMIZATION

Personal Author(s) : Lee,E. Stanley

Report Date : JAN 1968

Pagination or Media Count : 28

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)

Descriptors :   (*DIFFERENTIAL EQUATIONS, EXPERIMENTAL DATA), (*CHEMICAL ENGINEERING, CONCENTRATION(CHEMISTRY)), CALCULUS OF VARIATIONS, BOUNDARY VALUE PROBLEMS, DECISION THEORY, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, NUMERICAL METHODS AND PROCEDURES, OPTIMIZATION, REACTION KINETICS

Subject Categories : Industrial Chemistry and Chemical Processing
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE