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Journal Articles International Journal of Dynamics and Control Year : 2021

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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Dates and versions

hal-02943170 , version 1 (18-09-2020)

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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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