Skip to Main content Skip to Navigation
New interface
Journal articles

On Conditions of Oscillations and Multi-Homogeneity

Denis Efimov 1 Wilfrid Perruquetti 1, 2 
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The notion of homogeneity in the bi-limit from [1] is extended to local homogeneity and then to homogeneity in the multi-limit. The converse Lyapunov/Chetaev theorems on (homogeneous) system instability are obtained. The problem of oscillation detection for nonlinear systems is addressed. The sufficient conditions of oscillation existence for systems homogeneous in the multi-limit are formulated. The proposed approach estimates the number of oscillating modes and the regions of their location. Efficiency of the technique is demonstrated on several examples.
Document type :
Journal articles
Complete list of metadata

Cited literature [36 references]  Display  Hide  Download
Contributor : Denis Efimov Connect in order to contact the contributor
Submitted on : Monday, November 2, 2015 - 10:22:48 AM
Last modification on : Tuesday, December 6, 2022 - 12:42:13 PM
Long-term archiving on: : Wednesday, February 3, 2016 - 10:33:43 AM


Files produced by the author(s)



Denis Efimov, Wilfrid Perruquetti. On Conditions of Oscillations and Multi-Homogeneity. Mathematics of Control, Signals, and Systems, 2016, 28 (3), ⟨10.1007/s00498-015-0157-y⟩. ⟨hal-01223154⟩



Record views


Files downloads