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Kybernetika 41(5):593-600, 2005.

Only a Level Set of a Control Lyapunov Function for Homogeneous Systems

Hamadi Jerbi and Thouraya Kharrat


Abstract:

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.


Keywords: homogeneous systems; homogeneous feedbacks; stabilizability; sub manifold; vector field;


AMS: 93D15;


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BIB TeX

@article{kyb:2005:5:593-600,

author = {Jerbi, Hamadi and Kharrat, Thouraya },

title = {Only a Level Set of a Control Lyapunov Function for Homogeneous Systems},

journal = {Kybernetika},

volume = {41},

year = {2005},

number = {5},

pages = {593-600}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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