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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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Automatic
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Dates and versions

hal-01755079 , version 1 (30-03-2018)

Identifiers

  • HAL Id : hal-01755079 , version 1

Cite

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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