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Sur la Structure de l'Ensemble d'Accessibilité de Certains Systèmes: Application à l'Equivalence des Systèmes

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Abstract

For a large class of systems, the interior of the closure of the accessibility set from a point is the interior of this set. As a consequence, equivalent systems, in the Jurdjevic—Kupka's sense, have the same interior and the same boundary for their accessibility sets. This result is used to prove a conjecture of L. R. Hunt.

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  1. Laboratoire de méthodes mathématiques d'analyse des systèmes, ERA-CNRS 040399-Université de Metz, 57045, Metz, Cedex, France

    G. Sallet

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  1. G. Sallet
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Sallet, G. Sur la Structure de l'Ensemble d'Accessibilité de Certains Systèmes: Application à l'Equivalence des Systèmes. Math. Systems Theory 18, 125–133 (1985). https://doi.org/10.1007/BF01699464

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  • DOI: https://doi.org/10.1007/BF01699464

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