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Stability Analysis of Fuzzy and Other Nonlinear Systems Based on the Method of Convex Decomposition

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Computational Intelligence (Fuzzy Days 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1625))

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Abstract

The Convex Decomposition Stability Analysis Method (CDS method), a computer aided method for strictly proving stability, is developed further in this paper. It can now be applied to control systems consisting of a piecewise linearized plant, with a piecewise multiaffine discrete-time control law. The idea of the Convex Enclosure has been further developed and realized for applications. The efficiency of the method is demonstrated by applying it to a fuzzy control system.

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Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Dortmund, D-44221, Dortmund, Germany

    Rainer Knicker

Authors
  1. Rainer Knicker
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Editor information

Editors and Affiliations

  1. Computer Science I, University of Dortmund, D-44221, Dortmund, Germany

    Bernd Reusch

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© 1999 Springer-Verlag Berlin Heidelberg

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Knicker, R. (1999). Stability Analysis of Fuzzy and Other Nonlinear Systems Based on the Method of Convex Decomposition. In: Reusch, B. (eds) Computational Intelligence. Fuzzy Days 1999. Lecture Notes in Computer Science, vol 1625. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48774-3_45

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  • DOI: https://doi.org/10.1007/3-540-48774-3_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66050-7

  • Online ISBN: 978-3-540-48774-6

  • eBook Packages: Springer Book Archive

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