Verification of ISS, iISS and IOSS properties applying weighted homogeneity

Emmanuel Bernuau 1 Andrey Polyakov 2 Denis Efimov 2, 3 Wilfrid Perruquetti 2, 3, 4
2 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
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Several conditions are proposed to check different robustness properties (ISS, iISS, IOSS and OSS) for generic nonlinear systems applying the weighted homogeneity concept (global or local). The advantages of this result are that, under some mild conditions, the system robustness can be established as a function of the degree of homogeneity.
Document type :
Journal articles
Complete list of metadatas

Cited literature [29 references]  Display  Hide  Download

https://hal.inria.fr/hal-00877148
Contributor : Denis Efimov <>
Submitted on : Saturday, October 26, 2013 - 5:12:28 PM
Last modification on : Friday, March 22, 2019 - 1:35:31 AM
Long-term archiving on: Monday, January 27, 2014 - 2:12:49 PM

File

Homogenity_ISS_J.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00877148, version 1

Citation

Emmanuel Bernuau, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Verification of ISS, iISS and IOSS properties applying weighted homogeneity. Systems and Control Letters, Elsevier, 2013, 62 (12), pp.1159-1167. ⟨hal-00877148⟩

Share

Metrics

Record views

828

Files downloads

694