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Optimal Control pp 187–194Cite as

Stability Conditions in Terms of Eigenvalues of a Nonlinear Optimal Controlled System

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Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 111))

Abstract

The stability conditions, in terms of nonlinear eigenvalues, may be deduced from the exact solution of a nonlinear controlled system. Those values are associated to eigenvectors which satisfy an algebraic nonlinear equation.

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Author information

Authors and Affiliations

  1. Plateau de Moulon, Ecole Supérieure d’Electricité, 91192, Gif-sur-Yvette, France

    Dr. Houria Bourdache-Siguerdidjane

Authors
  1. Dr. Houria Bourdache-Siguerdidjane
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Editor information

Editors and Affiliations

  1. Mathematisches Institut, TH München, Postfach 20 24 20, D-80290, München 2, Germany

    R. Bulirsch

  2. Dept. of Mechanical Engineering and Materials Science, Post Office Box 1892, 77251-1892, Houston, Texas, USA

    A. Miele

  3. Mathematik u. Statistik, Inst. f. Angewandte, Am Hubland, D-97074, Würzburg, Germany

    J. Stoer

  4. Inst. f. Flugmechanik u. Flugregelung, Universität Stuttgart, Forststr. 86, D-70176, Stuttgart, Germany

    K. Well

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© 1993 Birkhäuser Verlag

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Bourdache-Siguerdidjane, H. (1993). Stability Conditions in Terms of Eigenvalues of a Nonlinear Optimal Controlled System. In: Bulirsch, R., Miele, A., Stoer, J., Well, K. (eds) Optimal Control. ISNM International Series of Numerical Mathematics, vol 111. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7539-4_14

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  • DOI: https://doi.org/10.1007/978-3-0348-7539-4_14

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7541-7

  • Online ISBN: 978-3-0348-7539-4

  • eBook Packages: Springer Book Archive

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