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

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

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.

Andrey Polyakov | Denis V. Efimov | Wilfrid Perruquetti | Francisco Lopez-Ramirez

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