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Stabilization of polynomial systems in ℝ3 via homogeneous feedback

  • Hamadi Jerbi , Thouraya Kharrat ORCID logo EMAIL logo and Fehmi Mabrouk
Published/Copyright: January 6, 2022

Abstract

In this paper, we study the stabilization problem of a class of polynomial systems of odd degree in dimension three. The constructed stabilizing feedback is homogeneous and guarantee the homogeneity of the closed loop system.mynotered In the end of the paper, we show the efficiency of such a study in the local stabilization of nonlinear systems affine in control.

MSC 2010: 93D05; 93D15

References

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Received: 2020-05-26
Revised: 2021-03-22
Accepted: 2021-03-29
Published Online: 2022-01-06
Published in Print: 2022-12-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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