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inria-00391311, version 1

Stabilization of time-delay systems through linear differential equations using a descriptor representation

Alexandre Seuret () a, 1, 2, Karl Henrik Johansson 3

European Control Conference, ECC'09 (2009)

  • a –  CNRS
  • 1:  Grenoble Images Parole Signal Automatique (GIPSA-lab)
  • http://www.gipsa-lab.inpg.fr/
    CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology Gipsa-lab - 961 rue de la Houille Blanche - BP 46 - 38402 Grenoble cedex France
  • 2:  NeCS (INRIA Grenoble Rhône-Alpes / Gipsa-lab)
  • http://necs.inrialpes.fr/
    CNRS : UMR5216 – INRIA – Gipsa-lab – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG) INRIA Rhône-Alpes Montbonnot 38 334 Saint Ismier France Gipsa-lab Domaine universitaire 38402 Saint Martin d'Hères France France
  • 3:  Automatic Control Group [Lund]
  • http://www.control.lth.se/
    Lund University Department of Automatic Control Lund University Box 118 SE-221 00 Lund, Sweden Sweden

Bibliographic reference

  • Type of document: Peer-reviewed conferences/proceedings
  • Domain: Mathematics/Dynamical Systems
  • Title: Stabilization of time-delay systems through linear differential equations using a descriptor representation
  • Abstract: In this article, a new method to assess stability and to design static state feedback controller for linear timedelay systems is introduced. The method based on linear differential equations allows considering explicit Lyapunov-Krasovskii functionals with non constant matrix parameters. The stability conditions considering constant delays are delaydependent and expressed using easy computable linear matrix inequalities. An example is introduced to show the efficiency of the stabilization criteria.
  • Full text language: English
  • Publication date: 2009
  • Audience: international
  • Conference title: European Control Conference, ECC'09
  • Conference city: Budapest
  • Country: Hungary
  • Conference date: 2009-08-23

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  • inria-00391311, version 1
  • http://hal.inria.fr/inria-00391311
  • oai:hal.inria.fr:inria-00391311
  • From: Alexandre Seuret <>
  • Submitted on: Wednesday, 3 June 2009 17:11:15
  • Updated on: Thursday, 13 December 2012 14:34:57