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Some Remarks concerning Flatness and the Parameterization of the System Variables by a Flat Output
Author(s) -
Kolar Bernd,
Schöberl Markus,
Schlacher Kurt
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610394
Subject(s) - flatness (cosmology) , parameterized complexity , mathematics , state (computer science) , state variable , control theory (sociology) , computer science , algorithm , physics , thermodynamics , control (management) , cosmology , quantum mechanics , artificial intelligence
Abstract For flat systems, by definition the state‐ and input variables can be parameterized by the flat output and its time derivatives. In the present contribution, for special classes of flat outputs like e.g. flat outputs that only depend on the state, we derive upper bounds for the number of time derivatives that occur in this parameterization. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)