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Guaranteed Parameter Estimation for Cooperative Models

  • Invited Session: Modelling and Identification of Biological Systems
  • Conference paper
  • First Online:
Positive Systems

Part of the book series: Lecture Notes in Control and Information Science ((LNCIS,volume 294))

Abstract

The parameters of cooperative models are estimated in a boundederror context, i.e., all uncertain quantities are assumed to be bounded, with known bounds. Guaranteed estimation is then the characterization of the set of all parameter vectors that are consistent with the model and experimental data, given these bounds. Interval techniques provide an approximate but guaranteed enclosure of this set. No parameter vector consistent with the experimental data and model structure can be missed, so this approach bypasses the structural identifiability study required by the usual approaches based on the local optimization of some cost function.

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Luca Benvenuti Alberto De Santis Lorenzo Farina

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Kieffer, M., Walter, E. Guaranteed Parameter Estimation for Cooperative Models. In: Benvenuti, L., De Santis, A., Farina, L. (eds) Positive Systems. Lecture Notes in Control and Information Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44928-7_15

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  • DOI: https://doi.org/10.1007/978-3-540-44928-7_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40342-5

  • Online ISBN: 978-3-540-44928-7

  • eBook Packages: Springer Book Archive

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