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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Parameter estimation of systems with delays via structural sensitivity analysis

Pages: 2521 - 2533, Volume 19, Issue 8, October 2014      doi:10.3934/dcdsb.2014.19.2521

 
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Krzysztof Fujarewicz - Silesian University of Technology, ul.Akademicka 16, 44-100, Gliwice, Poland (email)
Krzysztof Łakomiec - Silesian University of Technology, ul.Akademicka 16, 44-100, Gliwice, Poland (email)

Abstract: This article presents a method for sensitivity analysis of non-linear continuous-time models with delays and its application to parameter estimation. The method is universal and may be used for sensitivity analysis of any system given as a block diagram with arbitrary structure and any number of delays. The method gives sensitivity functions of model trajectories with respect to all model parameters, including delay times, and both forward and adjoint sensitivity analysis may be performed. Two examples application of the method are presented: identification of a Wiener model with delay and identification of a model of JAK-STAT cell signal transduction mechanism.

Keywords:  Identification, sensitivity analysis, structural methods, systems with delays, automatic differentiation, parameter estimation.
Mathematics Subject Classification:  Primary: 93B30, 93A30; Secondary: 65K10, 93C10.

Received: November 2013;      Revised: May 2014;      Available Online: August 2014.

 References