Skip to Main content Skip to Navigation
Conference papers

Oscillations Conditions in Homogenous Systems

Denis Efimov 1 Wilfrid Perruquetti 2, 3, 4
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
Document type :
Conference papers
Complete list of metadatas

Cited literature [24 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00561003
Contributor : Denis Efimov <>
Submitted on : Friday, October 14, 2011 - 9:56:56 AM
Last modification on : Friday, March 22, 2019 - 1:35:02 AM
Document(s) archivé(s) le : Sunday, January 15, 2012 - 2:20:06 AM

File

Efimov_Perruquetti_NOLCOS2010....
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00561003, version 1

Citation

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⟩

Share

Metrics

Record views

913

Files downloads

427