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Paper details
Number 2 - June 2019
Volume 29 - 2019
Parameter identification and estimation for stage-structured population models
Carmen Coll, Elena Sánchez
Abstract
A stage-structured population model with unknown parameters is considered. Our purpose is to study the identifiability
of the model and to develop a parameter estimation procedure. First, we analyze whether the parameter vector can or
cannot uniquely be determined with the knowledge of the input-output behavior of the model. Second, we analyze how the
information in the experimental data is translated into the parameters of the model. Furthermore, we propose a process to
improve the recursive values of the parameters when successive observation data are considered. The structure of the state
matrix leads to an analysis of the inverse of a sum of rank-one matrices.
Keywords
system identification, parameter estimation, dynamic population, discrete-time system, rank-one matrix