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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
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189, Inria Lille - Nord Europe
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.
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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. A note on delay robustness for homogeneous systems with negative degree. Automatica, Elsevier, 2017, 79, pp.178-184. ⟨10.1016/j.automatica.2017.01.036⟩. ⟨hal-01419131⟩

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