Quadratic-like Stability of Nonlinear 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 : A necessary and sufficient condition of stability (stabilizability) of nonlinear homogeneous (control) system is obtained using a topological equivalence of asymptotically stable homogeneous system to a quadratically stable one.
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Submitted on : Thursday, August 31, 2017 - 3:26:45 PM
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Andrey Polyakov. Quadratic-like Stability of Nonlinear Homogeneous Systems. 56th IEEE Conference on Decision and Control, Dec 2017, Mebourne, Australia. ⟨hal-01525252v2⟩

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