Title :

Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method

Author(s) :

Nekhoroshikh, Artem [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Furtat, Igor [Auteur]
Institute of Mechanical Engineering Problems [St. Petersburg] [IPME]

Journal title :

IEEE Transactions on Automatic Control

Publisher :

Institute of Electrical and Electronics Engineers

Publication date :

2022

ISSN :

0018-9286

English keyword(s) :

Fixed-time and hyperexponential stability
implicit theorem
linear matrix inequalities
Lyapunov-Razumikhin theorem
time-delay systems

HAL domain(s) :

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

English abstract : [en]

Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly and implicitly defined Lyapunov functions. While the former method is useful for stability analysis, ...
Show more >Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly and implicitly defined Lyapunov functions. While the former method is useful for stability analysis, the latter approach is more suitable for control synthesis. Examples of systems that can be stabilized hyperexponentially and in fixed time are given. The control parameters tuning algorithm is presented in the form of linear matrix inequalities. The numerical simulations illustrate the theoretical results.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