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On Necessary and Sufficient Conditions for Fixed-Time Stability of Continuous Autonomous Systems

Abstract : Necessary and sufficient conditions for fixed-time stability of continuous autonomous system are given. Continuity of the settling-time function is considered and a characterization of fixed-time stability with continuous settling-time function is presented. Further refinements of these conditions that allow more constructive calculations are provided. Several academic examples are provided to illustrate the theoretical results.
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https://hal.inria.fr/hal-01755079
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Submitted on : Friday, March 30, 2018 - 1:05:40 PM
Last modification on : Monday, November 23, 2020 - 3:54:18 PM

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Francisco Lopez-Ramirez, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. On Necessary and Sufficient Conditions for Fixed-Time Stability of Continuous Autonomous Systems. Proc. 17th European Control Conference (ECC), Jun 2018, Limassol, Cyprus. ⟨hal-01755079⟩

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