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Stabilization in Finite Time of a Class of Unbounded Non-linear Systems

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Abstract

This paper investigates finite-time stability for a class of unbounded nonlinear control systems using various feedback laws. These feedback laws can either lead to finite-time stability or to fixed-time and prescribed stability of the closed-loop system. The well-posedness of the closed-loop system is proved via the maximal monotone operators theory. Illustrative examples are proposed with numerical simulations.

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Notes

  1. An operator is said to be unbounded if it is not bounded on some bounded subset (see [4], p. 29).

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Authors and Affiliations

  1. Departement of Mathematics & Informatics, ENS, University of Sidi Mohamed Ben Abdellah, Fez, 5206, Morocco

    Hanan Najib & Mohamed Ouzahra

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  1. Hanan Najib
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  2. Mohamed Ouzahra
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Correspondence to Hanan Najib.

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Najib, H., Ouzahra, M. Stabilization in Finite Time of a Class of Unbounded Non-linear Systems. J Dyn Control Syst (2024). https://doi.org/10.1007/s10883-024-09680-6

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