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A converse Lyapunov theorem for robust exponential stochastic stability

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Stability and Stabilization of Nonlinear Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 246))

Abstract

Concepts of exponential global robust—stability for stochastic systems are introduced and analyzed in terms of Lyapunov functions. The main results of the paper are used to derive a Lyapunov like characterization for the concept of input-to-state-exponential stochastic stability introduced in earlier works by the first author

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Technical University, Zografou Campus, 15780, Athens, Greece

    John Tsinias & John Spiliotis

Authors
  1. John Tsinias
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  2. John Spiliotis
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Editor information

Editors and Affiliations

  1. Dept. of Systems Dynamics, Universiteit Gent, Technologiepark-Zwijnaarde 9, 9052, Gent, Belgium

    Dirk Aeyels (Professor) (Professor)

  2. Laboratoire des Signaux et Systèmes, CNRS, SUPELEC, 91192, Gif-sur-Yvette, France

    Françoise Lamnabhi-Lagarrigue (Docteur d’état) (Docteur d’état)

  3. Dept. of Applied Mathematics, University of Twente, PO Box 217, 7500, Enschede, The Netherlands

    Arjan van der Schaft (Professor) (Professor)

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© 1999 Springer-Verlag London Limited

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Tsinias, J., Spiliotis, J. (1999). A converse Lyapunov theorem for robust exponential stochastic stability. In: Aeyels, D., Lamnabhi-Lagarrigue, F., van der Schaft, A. (eds) Stability and Stabilization of Nonlinear Systems. Lecture Notes in Control and Information Sciences, vol 246. Springer, London. https://doi.org/10.1007/1-84628-577-1_18

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  • DOI: https://doi.org/10.1007/1-84628-577-1_18

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-638-7

  • Online ISBN: 978-1-84628-577-6

  • eBook Packages: Springer Book Archive

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