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Stability Margin for Linear Systems with Fuzzy Parametric Uncertainty

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PRICAI 2008: Trends in Artificial Intelligence (PRICAI 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5351))

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Abstract

The paper deals with the problem of determining stability margin of a linear continuous-time system with fuzzy parametric uncertainty. Non-symmetric multivariate ellipsoidal membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. An elegant solution, graphical in nature, based on generalization of Tsypkin-Polyak plot is presented.

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References

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Author information

Authors and Affiliations

  1. Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27, Prague, Czech Republic

    Petr Hušek

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  1. Petr Hušek
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Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Asahidai 1-1, 923-12292, Nomi, Japan

    Tu-Bao Ho

  2. Department of Computer Science & Technology, Nanjing University, 22 Hankou Road, 210093, China

    Zhi-Hua Zhou

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Hušek, P. (2008). Stability Margin for Linear Systems with Fuzzy Parametric Uncertainty. In: Ho, TB., Zhou, ZH. (eds) PRICAI 2008: Trends in Artificial Intelligence. PRICAI 2008. Lecture Notes in Computer Science(), vol 5351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89197-0_65

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  • DOI: https://doi.org/10.1007/978-3-540-89197-0_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89196-3

  • Online ISBN: 978-3-540-89197-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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