Development Of Homogeneity Concept For Time-Delay Systems

Efimov, Denis; Perruquetti, Wilfrid; Richard, Jean-Pierre

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1137/130908750

Title :

Development Of Homogeneity Concept For Time-Delay Systems

Author(s) :

Efimov, Denis [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Richard, Jean-Pierre [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]

Journal title :

SIAM Journal on Control and Optimization

Pages :

1547–1566

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2014-12-01

ISSN :

0363-0129

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

The notion of homogeneity is extended to the time-delay nonlinear systems. Applications of Lyapunov-Krasovskii functionals and Lyapunov-Razumikhin functions for stability investigation are analyzed. The notion of local ...
Show more >The notion of homogeneity is extended to the time-delay nonlinear systems. Applications of Lyapunov-Krasovskii functionals and Lyapunov-Razumikhin functions for stability investigation are analyzed. The notion of local homogeneity is introduced, relations between stability/instability of the locally approximating dynamics and the original time-delay system are established. A link between homogeneity and input-to-state stability is investigated. Examples of application of the proposed theory are given.Show less >

Language :

Anglais

Popular science :

Non

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