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Simultaneous stabilization of single-input nonlinear systems with bounded controls

Abstract : In this paper, the simultaneous stabilization of single-input nonlinear systems with bounded controls is considered. Using the Lyapunov approach and based on Lin–Sontag’s formula for bounded and continuous stabilizers for affine nonlinear systems, a constructive universal formula for the bounded simultaneous stabilization of single-input nonlinear systems is presented explicitly. An illustrative example is given to demonstrate the validity of the method.
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https://hal.inria.fr/hal-02943170
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Submitted on : Friday, September 18, 2020 - 4:41:58 PM
Last modification on : Friday, July 8, 2022 - 10:07:46 AM
Long-term archiving on: : Thursday, December 3, 2020 - 1:02:34 PM

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Abderrahman Iggidr, Mohamed Oumoun. Simultaneous stabilization of single-input nonlinear systems with bounded controls. International Journal of Dynamics and Control, 2021, 9, pp.550-556. ⟨10.1007/s40435-020-00658-3⟩. ⟨hal-02943170⟩

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