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Vibrational control of singularly perturbed systems

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Book cover Nonlinear control in the year 2000 volume 2

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 259))

Abstract

We extend the theory of vibrational stabilizability to systems with fast and slow variables. The mathematical tools for establishing corresponding results are the persistence theory of normally hyperbolic invariant manifolds, the averaging theory and appropriate transformations. At the same time we introduce modified concepts of vibrational stabilizability compared with the ‘classical’ definitions.

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Authors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, D-10117, Berlin, Germany

    Klaus R. Schneider

Authors
  1. Klaus R. Schneider
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Editor information

Alberto Isidori Françoise Lamnabhi-Lagarrigue Witold Respondek

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© 2001 Springer-Verlag London Limited

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Schneider, K.R. (2001). Vibrational control of singularly perturbed systems. In: Isidori, A., Lamnabhi-Lagarrigue, F., Respondek, W. (eds) Nonlinear control in the year 2000 volume 2. Lecture Notes in Control and Information Sciences, vol 259. Springer, London. https://doi.org/10.1007/BFb0110317

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  • DOI: https://doi.org/10.1007/BFb0110317

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-364-5

  • Online ISBN: 978-1-84628-569-1

  • eBook Packages: Springer Book Archive

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