Title :

Practical fixed-time ISS of neutral time-delay systems with application to stabilization by using delays

Author(s) :

Nekhoroshikh, Artem [Auteur]
ITMO University [Russia]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Fridman, Emilia [Auteur]
Tel Aviv University [TAU]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Furtat, Igor [Auteur]
Institute of Mechanical Engineering Problems [St. Petersburg] [IPME]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]

Journal title :

Automatica

Publisher :

Elsevier

Publication date :

2022

ISSN :

0005-1098

English keyword(s) :

neutral time-delay systems
implicit Lyapunov-Krasovskii functional
nonlinear control
delay-induced output feedback
practical input-to-state stability
linear matrix inequalities

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

The concept of practical fixed-time input-to-state stability for neutral time-delay systems with exogenous perturbations is introduced. Lyapunov-Krasovskii theorems are formulated in explicit and implicit ways. Further, ...
Show more >The concept of practical fixed-time input-to-state stability for neutral time-delay systems with exogenous perturbations is introduced. Lyapunov-Krasovskii theorems are formulated in explicit and implicit ways. Further, the problem of static nonlinear output-feedback stabilization of a linear system with parametric uncertainties, external bounded state and output disturbances by using artificial delays is considered. The constructive control design consists in solving linear matrix inequalities with only four tuning parameters to be chosen. It is shown both, theoretically and numerically, that the system governed by the proposed controller converges faster to the given invariant set than in the case of using its linear counterpart.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL