Stability of time-periodic and delayed systems - a route to act-and-wait control

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63 Citations (Scopus)


The history of the linear time-delayed and time-periodic oscillator demonstrates how stability theory has developed from the damped oscillator to the delayed Mathieu equation. Based on these results, it is a natural idea to apply time-periodic control gains when large time delay in the feedback loop tends to destabilize the system. By formulating the act-and-wait control concept as a special case of periodic controllers, a time delayed version of the Brockett problem is posed. Examples demonstrate the efficiency of the kind of time periodic control where the feedback is switched off for a waiting interval longer than the delay.

Original languageEnglish
Pages (from-to)159-168
Number of pages10
JournalAnnual Reviews in Control
Issue number2
Publication statusPublished - Nov 24 2006


  • Act-and-wait
  • Oscillator
  • Periodic control
  • Stability
  • Time delay

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering

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