On a Lipschitzian dynamic model of a simple hysteresis

Pini Gurfil, Ilan G. Shaviv, Bernard Friedland

Research output: Contribution to journalArticlepeer-review


A Lipschitzian dynamic model of a simple, relay-type hysteresis is considered. Being Lipschitzian, the approximate model may be thought of as more physically realistic than the ideal simple hysteresis. Simulations carried out using the suggested model encounter no integration-step singularities. Furthermore, since the approximate model involves a sector bounded nonlinearity, global absolute asymptotic stability analysis can be performed without substantially modifying the well known circle criterion.

Original languageEnglish (US)
Pages (from-to)1168-1169
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

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