Local stability of limit cycles for time-delay relay-feedback systems

Chong Lin, Qing Guo Wang, Tong Heng Lee, James Lam

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


This brief is concerned with the local stability of limit cycles for linear systems under relay feedback, for the cases where the linear system includes a time-delay in its dynamics and the relay can possess asymmetric hysteresis. The limit cycle considered can be asymmetric, have more than two switchings a period, zero output derivatives at the switching instants. It shows that if a certain constructed matrix is Schur stable, then, the local stability of the considered limit cycle is guaranteed. The effectiveness of the presented results is illustrated by a numerical example.

Original languageEnglish
Pages (from-to)1870-1875
Number of pages6
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number12
Publication statusPublished - Dec 2002
Externally publishedYes


  • Hysteresis
  • Limit cycles
  • Local stability
  • Relay-feedback systems
  • Time delay

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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