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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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https://hal.inria.fr/hal-01590336
Contributor : Jean-Claude Vivalda <>
Submitted on : Tuesday, September 19, 2017 - 2:38:11 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:06 PM

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

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