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Robust Stability of Multivariate Polynomials

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Advances in Mathematical Systems Theory

Part of the book series: Systems & Control: Foundations & Applications ((SCFA))

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Abstract

This chapter deals with stability analysis of multivaric’ polynomials.The maximal class of polynomials is introduced such that polynomials of this class preserve stability under small variations of the coefficients. Basic properties of such stable polynomials are discussed. Some robust stability conditions are given.

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Authors
  1. Vladimir L. Kharitonov
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Editor information

Editors and Affiliations

  1. Institute for Mathematics, University of Augsburg, 86135, Augsburg, Germany

    Fritz Colonius

  2. Mathematical Institute, University of Würzburg, Am Hubland, 97074, Würzburg, Germany

    Uwe Helmke

  3. Department of Mathematics, University of Kaiserslautern, Postfach 3049, 67653, Kaiserslautern, Germany

    Dieter Prätzel-Wolters

  4. Center for Technomathematics, University of Bremen, D-28334, Bremen, Germany

    Fabian Wirth

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© 2001 Springer Science+Business Media New York

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Kharitonov, V.L. (2001). Robust Stability of Multivariate Polynomials. In: Colonius, F., Helmke, U., Prätzel-Wolters, D., Wirth, F. (eds) Advances in Mathematical Systems Theory. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0179-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-0179-3_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6649-5

  • Online ISBN: 978-1-4612-0179-3

  • eBook Packages: Springer Book Archive

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