Global and Local Weighted Homogeneity for ...
Document type :
Partie d'ouvrage
Title :
Global and Local Weighted Homogeneity for Time-Delay Systems
Author(s) :
Efimov, Denis [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]
Richard, Jean-Pierre [Auteur]
Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]

Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]

Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]
Richard, Jean-Pierre [Auteur]

Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Non-Asymptotic estimation for online systems [NON-A]
Scientific editor(s) :
Karafyllis I.
Malisoff M.
Mazenc F.
Pepe P.
Malisoff M.
Mazenc F.
Pepe P.
Book title :
Recent Results on Nonlinear Delay Control Systems
Publisher :
Springer
Publication date :
2015-08-01
ISBN :
978-3-319-18071-7
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
The notion of weighted homogeneity is extended to the time-delay systems. It is shown that the stability/instability of homogeneous functional systems on a sphere implies the global stability/instability of the system. The ...
Show more >The notion of weighted homogeneity is extended to the time-delay systems. It is shown that the stability/instability of homogeneous functional systems on a sphere implies the global stability/instability of the system. The notion of local homogeneity is introduced, a relation between stability/instability of the locally approximating dynamics and the original time-delay system is established using Lyapunov-Razumikhin approach. An implication between homogeneity and input-to-state stability is investigated. Examples of application of the proposed theory are given.Show less >
Show more >The notion of weighted homogeneity is extended to the time-delay systems. It is shown that the stability/instability of homogeneous functional systems on a sphere implies the global stability/instability of the system. The notion of local homogeneity is introduced, a relation between stability/instability of the locally approximating dynamics and the original time-delay system is established using Lyapunov-Razumikhin approach. An implication between homogeneity and input-to-state stability is investigated. Examples of application of the proposed theory are given.Show less >
Language :
Anglais
Audience :
Internationale
Popular science :
Non
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