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Controllability of right-invariant systems on semi-simple lie groups

  • I-Differential Geometric System Theory Structural Properties
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New Trends in Nonlinear Control Theory

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 122))

Abstract

We deal with controllability of right-invariant control systems on Lie groups. Following the ideas of a series of papers by JURDJEVIC-KUPKA, GAUTHIER-BORNARD, GAUTHIER-KUPKA-SALLET, LEITE-CROUCH, EL ASSOUDI-GAUTHIER, we obtain a generalization of these results in the general case of real semi-simple Lie groups.

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References

  1. V. JURDJEVIC, I. KUPKA: "Controllability of right invariant systems on semi-simple Lie groups and their homogeneous spaces", Annales de l'Institut Fourier, 31 (4), 1981.

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  3. J.P. GAUTHIER, I. KUPKA, G. SALLET: "Controllability of right invariant systems on real simple Lie groups", Systems and control letters, 5, 1984.

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  4. S. LEITE, P. CROUCH: "Controllability on classical Lie groups", Mathematics for control, signals and systems, Vol. 1 N° 1, 1988, pp. 31–42.

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  5. R. EL ASSOUDI, J.P. GAUTHIER: "Controllability of right invariant systems on real simple Lie groups of type F4, G2, Bn, Cn", Mathematics for Control, signals and systems, Vol. 1 N° 1, 1988, pp. 293–304.

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  6. N. BOURBAKI: "Groupes et algèbres de Lie", Fasc. XXXVIII, Ch.7 et 8, Herman, Paris, 1975.

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Author information

Authors and Affiliations

  1. Laboratoire d'Automatique de Grenoble, BP 46, 38402, Saint-Martin-D'Heres, France

    R. El Assoudi

  2. Laboratoire d'Automatique - ISIDT, Université Claude Bernard - LYON 1, 43 boulevard du 11 Novembre 1918, 69022, Villeurbanne, France

    J. P. Gauthier

Authors
  1. R. El Assoudi
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  2. J. P. Gauthier
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Editor information

J. Descusse Michel Fliess A. Isidori D. Leborgne

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© 1989 Springer-Verlag

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El Assoudi, R., Gauthier, J.P. (1989). Controllability of right-invariant systems on semi-simple lie groups. In: Descusse, J., Fliess, M., Isidori, A., Leborgne, D. (eds) New Trends in Nonlinear Control Theory. Lecture Notes in Control and Information Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043017

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  • DOI: https://doi.org/10.1007/BFb0043017

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51075-8

  • Online ISBN: 978-3-540-46143-2

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