Methods for the study of unidentifiable state space models
- 1 January 1981
- journal article
- research article
- Published by SAGE Publications in Transactions of the Institute of Measurement and Control
- Vol. 3 (1) , 21-27
- https://doi.org/10.1177/014233128100300103
Abstract
A model M (θ) is unidentifiable if there exist several values of the parameter vector θ which are associated with the same input-output relation. In such a situation any further use of θ is questionable. A methodology for dealing with unidentifiable state space models is proposed. Some tools are given to set up either a new experiment or a new parametrisation in order to make the model identifiable; others allow us to generate the set of all output-indistinguishable models. Compartmental models, widely used in biology, supply both the practical motivations and an example of application for the proposed methodology.Keywords
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