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Stabilisation globale de systèmes non-linéaires par un contrôle positif

  • Algebraic and Geometric System Theory
  • Conference paper
  • First Online:
Analysis and Optimization of Systes

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 144))

Résumé

Nous donnons des conditions suffisantes de stabilisation globale dans une région fixée par un contrôle autour de l’équilibre pour une classe de systèmes différentiels non-linéaires en dimension n qui sont différence d’un système quasi-monotone croissant et d’un système monotone croissant, fréquents dans la modélisation biologique. On considère le cas d’un contrôle scalaire et d’un contrôle positif scalaire. On prend pour exemple les modèles de Lotka-Volterra.

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Authors and Affiliations

  1. INRIA Sophia-Antipolis, 06565, Valbonne Cedex, France

    Jean-Luc Gouzé

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  1. Jean-Luc Gouzé
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A. Bensoussan J. L. Lions

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© 1990 Springer-Verlag

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Gouzé, JL. (1990). Stabilisation globale de systèmes non-linéaires par un contrôle positif. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120055

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  • DOI: https://doi.org/10.1007/BFb0120055

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52630-8

  • Online ISBN: 978-3-540-47085-4

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