Fractional and nD systems: a continuous case

Authors:
Olivier Bachelier;Pawel Dabkowski;Krzysztof Galkowski;Anton Kummert
Affiliations:
LAII-ENSIP, University of Poitiers, Poitiers Cedex, France 86022;Institute of Physics, Nicolaus Copernicus University in Torun, Torun, Poland;Institute of Physics, Nicolaus Copernicus University in Torun, Torun, Poland;Faculty of Electrical, Information and Media Engineering, Communication Theory, University of Wuppertal, Wuppertal, Germany 42119
Venue:
Multidimensional Systems and Signal Processing
Year:
2012

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Abstract

In the paper, a possibility of employing the 2D, and more generally nD systems approach for the analysis of linear fractional degree systems for the introduced here, so-called n-commensurate transfer functions is shown. This approach induces a significant reduction of an overall problem dimensionality and gives interesting insights for stability analysis.