Oscillations Conditions in Homogenous Systems

Denis Efimov (1) , Wilfrid Perruquetti (2, 3, 4)

1 IMS - Laboratoire de l'intégration, du matériau au système
2 NON-A - Non-Asymptotic estimation for online systems
3 SyNeR - Systèmes Non Linéaires et à Retards
4 Centrale Lille

The problem of oscillations detection for nonlinear systems is addressed. The notion of homogeneity in bi-limit from (Andrieu, et al., 2008) is extended to local homogeneity. Next, sufficient conditions of oscillations existence for locally homogeneous systems are formulated. The proposed approach allows one to estimate the number of limit cycles and the regions of their location. Efficiency of the technique is dem-onstrated on two academic examples.

Domaines: Automatique / Robotique

Denis Efimov, Wilfrid Perruquetti. Oscillations Conditions in Homogenous Systems. 8th IFAC Symposium on Nonlinear Control Systems, Sep 2010, Bologna, Italy. pp.1379−1384. ⟨hal-00561003⟩