On necessary and sufficient conditions for output finite-time stability

Konstantin Zimenko (1) , Denis Efimov (2) , Andrey Polyakov (2) , Artem Kremlev (1)

1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
2 VALSE - Finite-time control and estimation for distributed systems

Output global finite-time stability of locally Lipschitz continuous autonomous systems is characterized by means of smooth Lyapunov functions. The so-called output-Lagrange stable systems are studied with details. Influence of a kind of continuity of the settling-time function is considered. Necessary and sufficient conditions of output finite-time stability are presented. The theoretical results are supported by academic examples and numerical simulations.

Domaines: Automatique / Robotique

Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. On necessary and sufficient conditions for output finite-time stability. Automatica, inPress, ⟨10.1016/j.automatica.2020.109427⟩. ⟨hal-02979811⟩