Input-to-state stability of Lur’e systems

E. Sarkans, H. Logemann

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An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of continuous-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.

Original languageEnglish
Pages (from-to)439-465
JournalMathematics of Control Signals and Systems
Issue number4
Early online date18 Jul 2015
Publication statusPublished - Dec 2015


  • Absolute stability
  • Circle criterion
  • Complexified Aizerman conjecture
  • Input-to-state stability
  • Lur’e systems
  • Stability radius


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