Skip to Main content Skip to Navigation
New interface
Journal articles

A note on delay robustness for homogeneous systems with negative degree

Konstantin Zimenko 1 Denis Efimov 2, 1 Andrey Polyakov 2, 1 Wilfrid Perruquetti 2 
1 Department of Control Systems and Informatics
Saint Petersburg State University of Information Technologies Mechanics and Optics
2 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 : Robustness with respect to delays is discussed for homogeneous systems with negative degree. It is shown that if homogeneous system with negative degree is globally asymptotically stable at the origin in the delay-free case then the system is globally asymptotically stable with respect to a compact set containing the origin independently of delay. The possibility of applying the result for local analysis of stability for not necessary homogeneous systems is analyzed. The theoretical results are supported by numerical examples.
Document type :
Journal articles
Complete list of metadata

Cited literature [32 references]  Display  Hide  Download
Contributor : Denis Efimov Connect in order to contact the contributor
Submitted on : Sunday, December 18, 2016 - 8:38:33 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM
Long-term archiving on: : Monday, March 20, 2017 - 4:31:39 PM


Files produced by the author(s)



Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. A note on delay robustness for homogeneous systems with negative degree. Automatica, 2017, 79, pp.178-184. ⟨10.1016/j.automatica.2017.01.036⟩. ⟨hal-01419131⟩



Record views


Files downloads