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Identification of dynamical systems in the fuzzy conditions. (English) Zbl 1191.93075

Awrejcewicz, Jan (ed.), Modeling, simulation and control of nonlinear engineering dynamical systems. State-of-the-art, perspectives and applications. Invited papers presented at the 9th international conference “Dynamical systems – theory and applications”, Łódź, Poland, december 17–20, 2007. Dordrecht: Springer (ISBN 978-1-4020-8777-6/hbk; 978-1-4020-8778-3/ebook). 95-105 (2009).
From the introduction: The paper deals with the identification of the fuzzy parameters of material and shape of structures. In many identification and optimization problems for the structures being under dynamical loads one should find some unknown parameters, e.g., materials properties, boundary conditions or geometrical parameters. An identification problem can be formulated as the minimization of some objective functions depending on measured and computed state fields, as displacements, strains, eigenfrequencies or temperature. In order to obtain the unique solution of the identification problem the global minimum of the objective function should be found. In many engineering dynamical cases it is not possible to determine the parameters of the system precisely, so it is necessary to introduce some uncertain parameters which describe the granular character of data. There exist different models of information granularity: interval numbers, fuzzy numbers, rough sets, random variables, etc. In the present paper the granularity of information is represented in the form of the fuzzy numbers.
For the entire collection see [Zbl 1155.93005].

MSC:

93C42 Fuzzy control/observation systems
93B30 System identification
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