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
An operator is said to be unbounded if it is not bounded on some bounded subset (see [4], p. 29).
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Najib, H., Ouzahra, M. Stabilization in Finite Time of a Class of Unbounded Non-linear Systems. J Dyn Control Syst 30, 17 (2024). https://doi.org/10.1007/s10883-024-09680-6
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DOI: https://doi.org/10.1007/s10883-024-09680-6