On existence of oscillations in hybrid systems

Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2, 3 A. Shiriaev 4
1 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The paper extends the notion of oscillations in the sense of Yakubovich to hybrid dynamics. Several sufficient stability and instability conditions for a forward invariant set are presented. The consideration is illustrated by analysis of a model of two-link compass-gait biped robot.
Document type :
Journal articles
Complete list of metadatas

Cited literature [26 references]  Display  Hide  Download

https://hal.inria.fr/hal-00906088
Contributor : Denis Efimov <>
Submitted on : Tuesday, November 19, 2013 - 11:13:22 AM
Last modification on : Friday, March 22, 2019 - 1:35:57 AM
Long-term archiving on : Thursday, February 20, 2014 - 7:10:09 AM

File

Hybrid_oscillations_J.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00906088, version 1

Citation

Denis Efimov, Wilfrid Perruquetti, A. Shiriaev. On existence of oscillations in hybrid systems. Nonlinear Analysis: Hybrid Systems, Elsevier, 2014. ⟨hal-00906088⟩

Share

Metrics

Record views

361

Files downloads

300