Stability Criteria for Systems with Bounded Uncertain Time-varying Delay

Chung-Yao Kao, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

3 Citations (SciVal)


Stability in presence of bounded uncertain time-varying time delays in the feedback loop of a system is studied. The stability problem is treated in the Integral Quadratic Constraint (IQC) framework. The stability criterion is formulated as frequency dependent linear matrix inequalities. The criterion can be equivalently formulated as a Semi-Definite Program (SDP) using Kalman-Yakubovich-Popov lemma. Therefore, checking the criterion can be done efficiently by using various SDP solvers
Original languageEnglish
Title of host publicationEuropean Control Conference ECC 2003
Publication statusPublished - 2003
EventEuropean Control Conference, 2003: ECC03 - Cambridge, United Kingdom
Duration: 2003 Sep 12003 Sep 4


ConferenceEuropean Control Conference, 2003
Country/TerritoryUnited Kingdom

Subject classification (UKÄ)

  • Control Engineering


  • SDP
  • Kalman-Yakubovich-Popov lemma
  • LMI
  • semidefinite program
  • linear systems
  • frequency dependent linear matrix inequalities
  • IQC
  • integral quadratic constraint
  • feedback loop
  • stability criteria
  • bounded uncertain time varying delay


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