Stability Analysis for Nonlinear Time-Delay Systems Applying Homogeneity

Denis Efimov (1, 2) , Andrey Polyakov (1) , Wilfrid Perruquetti (1, 2, 3) , Jean-Pierre Richard (1, 2, 3)

1 NON-A - Non-Asymptotic estimation for online systems
2 SyNeR - Systèmes Non Linéaires et à Retards
3 Centrale Lille

Global delay independent stability is analyzed for nonlinear time-delay systems applying homogeneity theory. The results of [1] are extended to the case of non-zero degree of homogeneity. Several tools for stability analysis in time-delay systems using homogeneity are presented: in particular, it is shown that if a time-delay system is homogeneous with nonzero degree and it is globally asymptotically stable for some delay, then this property is preserved for any delay value, which is known as the independent of delay (IOD) stability. The results are illustrated by numerical experiments.

Domaines: Automatique

Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Jean-Pierre Richard. Stability Analysis for Nonlinear Time-Delay Systems Applying Homogeneity. IEEE CDC 2014, Dec 2014, LA, United States. ⟨hal-01066296⟩