Stability and Robustness of Homogeneous Differential Inclusions

Arie Levant (1) , Denis Efimov (2, 3) , Andrey Polyakov (3, 2) , Wilfrid Perruquetti (2, 4)

1 TAU - School of Mathematical Sciences [Tel Aviv]
2 NON-A - Non-Asymptotic estimation for online systems
3 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
4 Centrale Lille

The known results on asymptotic stability of homogeneous differential inclusions with negative homogeneity degrees and their accuracy in the presence of noises and delays are extended to arbitrary homogeneity degrees. Discretization issues are considered, which include explicit and implicit Euler integration schemes. Computer simulation illustrates the theoretical results.

Domaines: Automatique / Robotique

Arie Levant, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Stability and Robustness of Homogeneous Differential Inclusions. Proc. 55th IEEE Conference on Decision and Control (CDC), Dec 2016, Las Vegas, United States. ⟨hal-01371280⟩