Stability of time-delay systems via Lyapunov functions

Stability of time-delay systems via Lyapunov functions

<p>In this paper, a Lyapunov function candidate is introduced for multivariable systems with inner delays, without assuming <emph>a priori</emph> stability for the nondelayed subsystem. By using this Lyapunov function, a controller is deduced. Such a controller utilizes an input&am...

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Main Authors: Alastruey Carlos F., de la Sen Manuel
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Mathematical Problems in Engineering
Subjects:
Time-delay; Lyapunov stability
Online Access:http://www.hindawi.net/access/get.aspx?journal=mpe&volume=8&pii=S1024123X0200193X
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spelling doaj-c50e5345fbfe4874a5e5083b09f068f82020-11-24T20:59:15ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472002-01-0183197205Stability of time-delay systems via Lyapunov functionsAlastruey Carlos F.de la Sen Manuel<p>In this paper, a Lyapunov function candidate is introduced for multivariable systems with inner delays, without assuming <emph>a priori</emph> stability for the nondelayed subsystem. By using this Lyapunov function, a controller is deduced. Such a controller utilizes an input&#8211;output description of the original system, a circumstance that facilitates practical applications of the proposed approach.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=8&pii=S1024123X0200193XTime-delay; Lyapunov stability
collection DOAJ
language English
format Article
sources DOAJ
author Alastruey Carlos F.
de la Sen Manuel
spellingShingle Alastruey Carlos F.
de la Sen Manuel
Stability of time-delay systems via Lyapunov functions
Mathematical Problems in Engineering
Time-delay; Lyapunov stability
author_facet Alastruey Carlos F.
de la Sen Manuel
author_sort Alastruey Carlos F.
title Stability of time-delay systems via Lyapunov functions
title_short Stability of time-delay systems via Lyapunov functions
title_full Stability of time-delay systems via Lyapunov functions
title_fullStr Stability of time-delay systems via Lyapunov functions
title_full_unstemmed Stability of time-delay systems via Lyapunov functions
title_sort stability of time-delay systems via lyapunov functions
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2002-01-01
description <p>In this paper, a Lyapunov function candidate is introduced for multivariable systems with inner delays, without assuming <emph>a priori</emph> stability for the nondelayed subsystem. By using this Lyapunov function, a controller is deduced. Such a controller utilizes an input&#8211;output description of the original system, a circumstance that facilitates practical applications of the proposed approach.</p>
topic Time-delay; Lyapunov stability
url http://www.hindawi.net/access/get.aspx?journal=mpe&volume=8&pii=S1024123X0200193X
work_keys_str_mv AT alastrueycarlosf stabilityoftimedelaysystemsvialyapunovfunctions
AT delasenmanuel stabilityoftimedelaysystemsvialyapunovfunctions
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