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Fractional and nD systems: a continuous case

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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.

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Authors and Affiliations

  1. LAII-ENSIP, University of Poitiers, Bâtiment B25, 2rue Pierre Brousse, 86022, Poitiers Cedex, France

    Olivier Bachelier

  2. Institute of Physics, Nicolaus Copernicus University in Torun, Torun, Poland

    Pawel Dabkowski & Krzysztof Galkowski

  3. Faculty of Electrical, Information and Media Engineering, Communication Theory, University of Wuppertal, Rainer-Gruenter-Strasse 21, 42119, Wuppertal, Germany

    Anton Kummert

Authors
  1. Olivier Bachelier
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  2. Pawel Dabkowski
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  3. Krzysztof Galkowski
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  4. Anton Kummert
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Correspondence to Pawel Dabkowski.

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Bachelier, O., Dabkowski, P., Galkowski, K. et al. Fractional and nD systems: a continuous case. Multidim Syst Sign Process 23, 329–347 (2012). https://doi.org/10.1007/s11045-011-0149-0

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  • DOI: https://doi.org/10.1007/s11045-011-0149-0

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