Robustness of homogeneous and locally homogeneous differential inclusions

Emmanuel Bernuau 1 Denis Efimov 2, 3 Wilfrid Perruquetti 2, 3, 4
2 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The paper proposes constructive conditions for verification of input-to-state stability property for discontinuous systems using geometric homogeneity. Two sets of conditions are developed: for a class of homogeneous and locally homogeneous systems described by differential inclusions. The advantage of the proposed conditions is that they are not based on the Lyapunov function method, but more related to algebraic operations over the right-hand side of the system.
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Emmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti. Robustness of homogeneous and locally homogeneous differential inclusions. Proc. European Control Conference (ECC) 2014, Jun 2014, Strasbourg, France. ⟨hal-00986032⟩

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