On Acceleration of a Class of Asymptotically Stable Homogeneous Systems

Abstract : A switched supervisory algorithm is proposed, which ensures fixed-time convergence by commutation of finite-time or exponentially stable homogeneous systems of a special class, and a finite-time convergence to the origin by orchestrating among asymptotically stable systems. A particular attention is paid to the case of exponentially stable systems. Performance of the proposed control algorithms is illustrated by computer experiments.
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Denis Efimov, Arie Levant, Andrey Polyakov, Wilfrid Perruquetti. On Acceleration of a Class of Asymptotically Stable Homogeneous Systems. Proc. 55th IEEE Conference on Decision and Control (CDC), Dec 2016, Las Vegas, United States. ⟨hal-01371274⟩

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