Simultaneous output feedback stabilization of time-delay systems

Magdi S. Mahmoud, Hazem Nounou

Research output: Contribution to journalArticle

5 Citations (Scopus)


This paper develops new results to the problem of simultaneous feedback stabilization using static output feedback (SOF) control for a finite collection of linear dynamical systems with unknown state delay. We establish tractable synthesis conditions for nominal SOF controllers and subsequently extend the results to resilient SOF to cope with possible additive controller gain perturbations. In both cases, the design of SOF controllers is based on guaranteed cost and H approaches. Previous related results are recovered and all the developed results are conveniently cast in the format of linear matrix inequalities. A numerical example is presented.

Original languageEnglish
Pages (from-to)211-223
Number of pages13
JournalIMA Journal of Mathematical Control and Information
Issue number2
Publication statusPublished - Jun 2006
Externally publishedYes



  • Guaranteed cost control
  • H control
  • LMIs
  • Simultaneous stabilization
  • Static output feedback
  • Time-delay systems

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Control and Optimization
  • Safety, Risk, Reliability and Quality

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