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Journal Articles European Journal of Control Year : 2017

On the stabilization of quadratic nonlinear systems

Abstract

The aim of this paper is to study the problem of stabilization of nonlinear systems with a quadratic control. Under the assumption that a control Lyapunov function (CLF) is known, we derive necessary and sufficient conditions for the stabilization by continuous feedback controls explicitly computed. Illustrative examples are presented.
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Dates and versions

hal-01590336 , version 1 (19-09-2017)

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Mohamed Oumoun, Lahcen Maniar, Jean-Claude Vivalda. On the stabilization of quadratic nonlinear systems. European Journal of Control, 2017, 35 (Supplement C), pp.6. ⟨10.1016/j.ejcon.2017.03.001⟩. ⟨hal-01590336⟩
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