Delay dependent stability criteria for a class of uncertain linear time delay systems

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Abstract

In this paper, stability condition for a class of uncertain linear neutral systems is investigated. Sufficient condition for the asymptotic stability of the system is obtained in terms of a linear matrix inequality (LMI) by the Lyapunov-Krasovskii (LK) approach, as dependent to the delay of the state, but independent of the delay in the first time derivative of the state of the system. Finally, the obtained theoretical results are illustrated with some examples and the values calculated for the upper limit of the time delay are compared with the other related works.

Original languageEnglish
Title of host publicationProceedings of the 11th IASTED International Conference on Control and Applications, CA 2009
Pages116-120
Number of pages5
Publication statusPublished - 2009
Event11th IASTED International Conference on Control and Applications, CA 2009 - Cambridge, United Kingdom
Duration: 13 Jul 200915 Jul 2009

Publication series

NameProceedings of the 11th IASTED International Conference on Control and Applications, CA 2009

Conference

Conference11th IASTED International Conference on Control and Applications, CA 2009
Country/TerritoryUnited Kingdom
CityCambridge
Period13/07/0915/07/09

Keywords

  • Delay dependent
  • Linear matrix inequality
  • Stability
  • Time varying delay

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