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An interval arithmetic scheme for analyzing uncertain systems
Author(s) -
Gaull Andreas,
Kreuzer Edwin
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700612
Subject(s) - interval (graph theory) , interval arithmetic , imperfect , scheme (mathematics) , computer science , dynamical systems theory , affine arithmetic , noise (video) , order (exchange) , mathematics , algorithm , mathematical optimization , artificial intelligence , pure mathematics , physics , mathematical analysis , linguistics , philosophy , combinatorics , bounded function , image (mathematics) , finance , quantum mechanics , affine transformation , economics
Abstract This contribution is dedicated to the numerical study of the global behavior of dynamical systems whose mathematical descriptions are imperfect due to uncertainties concerning involved parameters. At the beginning, we constitute themathematical model in order to provide a tailor‐made framework dealing with this problem. Here, uncertainties are regarded as external random noise or perturbations influencing an underlying deterministic system. Afterwards, an interval arithmetic scheme is presented which allows the numerical evaluation of the model. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)