Geodesic
Only a level set of a control Lyapunov function for homogeneous systems
Kybernetika, Tome 41 (2005) no. 5, pp. 593-600

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In this paper, we generalize Artstein’s theorem and we derive sufficient conditions for stabilization of single-input homogeneous systems by means of an homogeneous feedback law and we treat an application for a bilinear system.
In this paper, we generalize Artstein’s theorem and we derive sufficient conditions for stabilization of single-input homogeneous systems by means of an homogeneous feedback law and we treat an application for a bilinear system.
Classification : 93D05, 93D15
Keywords: homogeneous systems; homogeneous feedbacks; stabilizability; sub manifold; vector field 
Jerbi, Hamadi; Kharrat, Thouraya. Only a level set of a control Lyapunov function for homogeneous systems. Kybernetika, Tome 41 (2005) no. 5, pp. 593-600. http://geodesic.mathdoc.fr/item/KYB_2005_41_5_a2/
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     title = {Only a level set of a control {Lyapunov} function for homogeneous systems},
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     volume = {41},
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     mrnumber = {2192425},
     zbl = {1249.93147},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2005_41_5_a2/}
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