Displaying similar documents to “On the stabilizability of homogeneous systems of odd degree”

Only a level set of a control Lyapunov function for homogeneous systems

Hamadi Jerbi, Thouraya Kharrat (2005)

Kybernetika

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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.

Smooth homogeneous asymptotically stabilizing feedback controls

H. Hermes (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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If a smooth nonlinear affine control system has a controllable linear approximation, a standard technique for constructing a smooth (linear) asymptotically stabilizing feedbackcontrol is via the LQR (linear, quadratic, regulator) method. The nonlinear system may not have a controllable linear approximation, but instead may be shown to be small (or large) time locally controllable via a high order, homogeneous approximation. In this case one can attempt to construct an asymptotically...

Separation principle for nonlinear systems using a bilinear approximation

Mohamed Ali Hammami, Hamadi Jerbi (2001)

Kybernetika

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In this paper, we study the local stabilization problem of a class of planar nonlinear systems by means of an estimated state feedback law. Our approach is to use a bilinear approximation to establish a separation principle.