Theoretical and numerical results for parameter estimation in nonlinear elastomers

Author

Banks, H.T. ; Pinter, Gabriella A. ; Gilliam, David S.

Author_Institution

Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3733

Abstract

In this paper we present an approximation framework and theoretical convergence results for a class of parameter estimation problems for general abstract nonlinear hyperbolic systems. Included as special cases are convergence results for general approximation families for the forward solution of the nonlinear systems. These systems include as a special case those modeling a large class of nonlinear elastomers. Numerical results are presented to illustrate the convergence of spline based methods in the context of the approximation framework

Keywords

convergence; distributed parameter systems; elastomers; nonlinear systems; parameter estimation; splines (mathematics); approximation framework; nonlinear elastomers; nonlinear hyperbolic systems; parameter estimation; spline based method convergence; Displacement measurement; Least squares approximation; Mathematics; Nonlinear systems; Parameter estimation; Q measurement; State estimation; State-space methods; Time measurement; Velocity measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.652437

Filename

652437