Input-to-state stability of discrete-time Lur'e systems

Hartmut Logemann, Elvijs Sarkans

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An input-to-state stability theory, which subsumes results of circle criterion type, is
developed in the context of discrete-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.
Original languageEnglish
Pages (from-to)1739-1768
Number of pages31
JournalSIAM Journal on Control and Optimization
Issue number3
Early online date23 Jun 2016
Publication statusPublished - 31 Dec 2016


  • Absolute stability, circle criterion, complexified Aizerman conjecture, input-to-


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