Kybernetika 41 no. 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.