Stability of time-delay systems via Lyapunov functions

View/ Open
Date
2002Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión publicada / Argitaratu den bertsioa
Impact
|
10.1080/10241230215287
Abstract
In this paper, a Lyapunov function candidate is introduced for multivariable systems with inner delays, without assuming a priori stability for the nondelayed subsystem. By using this Lyapunov function, a controller is deduced. Such a controller utilizes an input-output description of the original system, a circumstance that facilitates practical applications of the proposed approach. ...
[++]
In this paper, a Lyapunov function candidate is introduced for multivariable systems with inner delays, without assuming a priori stability for the nondelayed subsystem. By using this Lyapunov function, a controller is deduced. Such a controller utilizes an input-output description of the original system, a circumstance that facilitates practical applications of the proposed approach. [--]
Subject
Time delay,
Lyapunov stability
Publisher
Hindawi Publishing Corporation
Published in
Mathematical Problems in Engineering, 2002, 8 (3). Págs. 197-205
Departament
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila
Publisher version
Sponsorship
The authors are very grateful to Spanish CICYT by the financial support of this work through research grants AGL2000-0257-P4-02 and DPI2000-0244.
Appears in Collections
Items in Academica-e are protected by copyright with all rights reserved, unless otherwise noted.
Except where otherwise noted, this item's license is described as Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.