Delayed feedback control of linear systems with state jump

Kentaro Hirata, Hideki Kokame

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


The effect of the delayed feedback control on the stability of periodic solutions of linear systems with sate jump is examined. Although the stability of the open-loop and the OGY feedback cases can be analyzed via matrix representations (Poincare map), the system with DFC requires an operator representation of the state transition on a certain function space due to the infinitedimensionality caused by the time delay element in the controller. A stability condition is given in terms of the spectrum of this operator. Also an analytic formula and a numerical method for the computation of the spectrum are provided.

Original languageEnglish
Pages (from-to)35-40
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number19
Publication statusPublished - 2003
Externally publishedYes
Event4th IFAC Workshop on Time Delay Systems, TDS 2003 - Rocquencourt, France
Duration: Sep 8 2003Sep 10 2003


  • Operators
  • Periodic motion
  • Stability analysis
  • Time-delay
  • Walking

ASJC Scopus subject areas

  • Control and Systems Engineering


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