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On the linearization of nonlinear control systems and exact reachability

  • Part II Inuited Papers
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Control of Partial Differential Equations

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 114))

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Abstract

We study the problem of exact local reachability of infinite dimensional nonlinear control systems. The main result shows that the exact local reachability of a linearized system implies that of the original system. Our main tool is an inverse mapping theorem for a map from a complete metric space to a reflexive Banach space.

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Authors and Affiliations

  1. Ceremade, Université Paris-Dauphine, 75775, Paris Cx 16, France

    Halina Frankowska

  2. International Institute for Applied Systems Analysis, A-2361, Laxenburg, Austria

    Halina Frankowska

Authors
  1. Halina Frankowska
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Alfredo Bermúdez

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© 1989 International Federation for Information Processing

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Frankowska, H. (1989). On the linearization of nonlinear control systems and exact reachability. In: Bermúdez, A. (eds) Control of Partial Differential Equations. Lecture Notes in Control and Information Sciences, vol 114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0002587

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  • DOI: https://doi.org/10.1007/BFb0002587

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50495-5

  • Online ISBN: 978-3-540-46018-3

  • eBook Packages: Springer Book Archive

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