Quadratic Stabilizability of Homogeneous Systems

Andrey Polyakov 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Topological equivalence between an asymptotically stable nonlinear homogeneous system and a quadratically stable one is proven. A necessary and sufficient condition of quadratic-like stability (stabilizability) for nonlinear homogeneous (control) system is obtained.
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Submitted on : Friday, May 19, 2017 - 4:46:57 PM
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Andrey Polyakov. Quadratic Stabilizability of Homogeneous Systems. 2017. ⟨hal-01525252v1⟩

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