Time-delay Robustness Analysis for Systems with Negative Degree of Homogeneity

Konstantin Zimenko (1) , Denis Efimov (2, 3) , Andrey Polyakov (3, 2) , Wilfrid Perruquetti (2, 4)

1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
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

Time-delay robustness analysis for homogeneous systems with negative degree is presented in the paper. It is established that if a system is homogeneous with negative degree and asymptotically stable at its origin in the absence of delays, then stability property is preserved with respect to a compact set containing the origin for any delay value. It is shown that obtained results can also be used for locally homogeneous systems. A simulation example is included to support theoretical results.

Mots clés: Homogeneous system; time-delay system; robustness

Domaines: Automatique / Robotique

Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Time-delay Robustness Analysis for Systems with Negative Degree of Homogeneity. Proc. 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Aug 2016, Monterey, United States. ⟨hal-01371370⟩