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Guaranteed Nonlinear Set Estimation via Interval Analysis

In: Bounding Approaches to System Identification

Author

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  • L. Jaulin

    (CNRS École Supérieure d’Electricité, Laboratoire des Signaux et Systèmes)

  • É. Walter

    (CNRS École Supérieure d’Electricité, Laboratoire des Signaux et Systèmes)

Abstract

Many methods have been developed for solving problems arising in mathematics and physics which are formulated in such a way as to require a point solution (e.g., a real number or vector). However, because of the uncertainty attached to the data and numerical errors induced by the finite-word-length representation in the computer, these methods are generally not appropriate to accurately characterize the uncertainty with which the solution is obtained. It is then difficult to assess the validity of the result.

Suggested Citation

  • L. Jaulin & É. Walter, 1996. "Guaranteed Nonlinear Set Estimation via Interval Analysis," Springer Books, in: Mario Milanese & John Norton & Hélène Piet-Lahanier & Éric Walter (ed.), Bounding Approaches to System Identification, chapter 23, pages 363-381, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-9545-5_23
    DOI: 10.1007/978-1-4757-9545-5_23
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