Identification of a Nonlinear Damping Function in a Thermoelastic System

  • Gabriel Dimitriu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3401)


In this paper we present an approximation framework and convergence results for the identification of a nonlinear damping function in a thermoelastic system. A functional technique is used to demonstrate that solutions to a sequence of finite dimensional (Galerkin) approximating identification problems in some sense approximate a solution to the original infinite dimensional inverse problem. An example and numerical studies are discussed.


Mild Solution Saturation Function Approximation Framework Functional Technique Unique Mild Solution 
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  1. 1.
    Banks, H.T., Reich, S., Rosen, I.G.: Estimation of nonlinear damping in second order distributed parameter systems. Control Theory and Advanced Technology 6(3), 395–415 (1990)MathSciNetGoogle Scholar
  2. 2.
    Dimitriu, G.: Parameter Identification for Some Classes of Nonlinear Systems, PhD Thesis (1999) (in Romanian)Google Scholar
  3. 3.
    Rosen, I.G., Su, C.H.F.: An approximation theory for the identification of linear thermoelastic systems. Report CAMS # 90–5 (January 1990)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Gabriel Dimitriu
    • 1
  1. 1.Department of Mathematics and Informatics, Faculty of PharmacyUniversity of Medicine and PharmacyIaşiRomania

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