Dissipativity results for linear singular time-delay systems

  • Magdi S. Mahmoud
  • , Fouad M. Al-Sunni
  • , Yan Shi

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

In this paper, new results are established for the problems of dissipative analysis and state-feedback synthesis of singular time-delay systems. The developed results encompass all available results on H approach, passivity and positive realness for singular time-delay systems as special cases. Both, delay-independent and delay-dependent cases are investigated and all the sufficient stability conditions are cast as linear matrix inequality-based feasibility tests. Robust dissipativity results are also derived for the case of convex polytopic uncertainties. A numerical example are provided to illustrate the developed results.

Original languageEnglish
Pages (from-to)2833-2845
Number of pages13
JournalInternational Journal of Innovative Computing, Information and Control
Volume4
Issue number11
StatePublished - Nov 2008

Keywords

  • Dissaptivity
  • Dissipative control
  • LMI
  • State feedback
  • Time-delay systems

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Information Systems
  • Computational Theory and Mathematics

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