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Finite-Time Stabilization of Differential Systems with Incommensurable Delays

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Abstract

For a spectrally controllable linear autonomous system with incommensurable delays, we construct a dynamic state feedback in the form of a differential-difference controller, which provides finite-time stabilization of the closed-loop system (complete damping of the original system in finite time). The results are illustrated by examples.

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Correspondence to A. V. Metel’skii or V. V. Karpuk.

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Translated by V. Potapchouck

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Metel’skii, A.V., Karpuk, V.V. Finite-Time Stabilization of Differential Systems with Incommensurable Delays. Diff Equat 58, 104–119 (2022). https://doi.org/10.1134/S0012266122010116

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  • DOI: https://doi.org/10.1134/S0012266122010116

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