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Comments on Finite-time Stability of Time-Delay Systems

Authors :
Denis Efimov
Jean-Pierre Richard
Andrey Polyakov
Wilfrid Perruquetti
Emilia Fridman
Non-Asymptotic estimation for online systems (NON-A)
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL)
Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Systèmes Non Linéaires et à Retards (SyNeR)
Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)
Department of Electrical Engineering
Tel Aviv University [Tel Aviv]
This work was partially supported by the Government of Russian Federation (Grant 074-U01), the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031) and by Israel Science Foundation (Grant No. 754/10). The material in this paper was not presented at any conference.
Inria Lille - Nord Europe
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL)
Tel Aviv University (TAU)
Source :
Automatica, Automatica, Elsevier, 2014, 50 (7), pp.1944-1947. ⟨10.1016/j.automatica.2014.05.010⟩, Automatica, 2014, 50 (7), pp.1944-1947. ⟨10.1016/j.automatica.2014.05.010⟩
Publication Year :
2014
Publisher :
HAL CCSD, 2014.

Abstract

International audience; Recently proposed conditions on finite-time stability in time-delay systems are revisited and it is shown that they are incorrect. General comments on possibility of finite-time convergence in time-delay systems and a necessary condition are given.

Details

Language :
English
ISSN :
00051098
Database :
OpenAIRE
Journal :
Automatica, Automatica, Elsevier, 2014, 50 (7), pp.1944-1947. ⟨10.1016/j.automatica.2014.05.010⟩, Automatica, 2014, 50 (7), pp.1944-1947. ⟨10.1016/j.automatica.2014.05.010⟩
Accession number :
edsair.doi.dedup.....f7388beb0086d66ede9f1ae54da36ba4