Multidimensional Systems and Signal Processing

, Volume 23, Issue 3, pp 329–347 | Cite as

Fractional and nD systems: a continuous case

  • Olivier Bachelier
  • Pawel Dabkowski
  • Krzysztof Galkowski
  • Anton Kummert


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.


Linear fractional degree systems nD systems LMI Stability Stabilization 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Olivier Bachelier
    • 1
  • Pawel Dabkowski
    • 2
  • Krzysztof Galkowski
    • 2
  • Anton Kummert
    • 3
  1. 1.LAII-ENSIP, University of PoitiersPoitiers CedexFrance
  2. 2.Institute of PhysicsNicolaus Copernicus University in TorunTorunPoland
  3. 3.Faculty of Electrical, Information and Media Engineering, Communication TheoryUniversity of WuppertalWuppertalGermany

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