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Global Stabilization of a Class of Bilinear Systems in \({\mathbb{R}^3}\)

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Abstract

In this paper, we consider a class of bilinear systems in dimension three which can be an extension of another one in \({\mathbbm{R}^{2}}\). We prove that there exists some homogeneous feedback of degree zero stabilizing the considered class if and only if these feedbacks are constants.

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Authors and Affiliations

  1. Département de Math, Faculté des sciences de Sfax, University of Sfax, Route de la Soukra km 3.5, B.P. n 1171-3000, Sfax, Tunisia

    Hamadi Jerbi, Thouraya Kharrat & Faouzi Omri

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  1. Hamadi Jerbi
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  2. Thouraya Kharrat
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  3. Faouzi Omri
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Correspondence to Thouraya Kharrat.

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Jerbi, H., Kharrat, T. & Omri, F. Global Stabilization of a Class of Bilinear Systems in \({\mathbb{R}^3}\) . Mediterr. J. Math. 13, 2507–2524 (2016). https://doi.org/10.1007/s00009-015-0636-x

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  • DOI: https://doi.org/10.1007/s00009-015-0636-x

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