On ISS and iISS properties of homogeneous systems

Emmanuel Bernuau 1 Andrey Polyakov 2 Denis Efimov 3, 2 Wilfrid Perruquetti 3, 2
2 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
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Several conditions are proposed to check ISS and iISS properties for generic nonlinear systems applying the weighted homogeneity concept (global or local). The advantages of this result is that, under some mild conditions, the system robustness can be established as a function of the degree of homogeneity.
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Emmanuel Bernuau, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. On ISS and iISS properties of homogeneous systems. European Control Conference 2013, Jul 2013, Zurich, Switzerland. ⟨hal-00801817⟩

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