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On the Frequency Theorem for Nonperiodic Systems

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Dynamics, Bifurcations, and Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 273))

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Abstract

Using methods of the theory of nonautonomous linear differential systems, namely exponential dichotomies and rotation numbers, we generalize some aspects of Yakubovich’s Frequency Theorem from periodic control systems to systems with bounded measurable coefficients.

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Author information

Authors and Affiliations

  1. Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze, Via Santa Marta 3, 50139, Firenze, Italy

    Roberta Fabbri & Russell Johnson

  2. Departamento de Matemática Aplicada a la Ingeniería, Universidad de Valladolid, Paseo del Cauce s/n, 47011, Valladolid, Spain

    Carmen Núñez

Authors
  1. Roberta Fabbri
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  2. Russell Johnson
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  3. Carmen Núñez
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universität Augsburg, Universitätsstraße, 86150, Augsburg, Germany

    Fritz Colonius

  2. Fachbereich Mathematik, J.W. Goethe-Universität, Postfach 11 19 32, 60054, Frankfurt am Main, Germany

    Lars Grüne

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© 2002 Springer-Verlag Berlin Heidelberg

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Fabbri, R., Johnson, R., Núñez, C. (2002). On the Frequency Theorem for Nonperiodic Systems. In: Colonius, F., Grüne, L. (eds) Dynamics, Bifurcations, and Control. Lecture Notes in Control and Information Sciences, vol 273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45606-6_16

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  • DOI: https://doi.org/10.1007/3-540-45606-6_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42890-9

  • Online ISBN: 978-3-540-45606-3

  • eBook Packages: Springer Book Archive

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