Research Output
The circle criterion for a class of sector-bounded dynamic nonlinearities
  We present a circle criterion which is necessary and sufficient for absolute stability with respect to a natural class of sector-bounded nonlinear causal operators. This generalized circle criterion contains the classical result as a special case. Furthermore, we develop a version of the generalized criterion which guarantees input-to-state stability.

  • Type:

    Article

  • Date:

    18 April 2022

  • Publication Status:

    Published

  • DOI:

    10.1007/s00498-022-00324-3

  • Cross Ref:

    10.1007/s00498-022-00324-3

  • ISSN:

    0932-4194

  • Funders:

    Edinburgh Napier Funded

Citation

Guiver, C., & Logemann, H. (2022). The circle criterion for a class of sector-bounded dynamic nonlinearities. Mathematics of Control, Signals, and Systems, 34, 461-492. https://doi.org/10.1007/s00498-022-00324-3

Authors

Keywords

Absolute stability, circle criterion, global asymptotic stability, input-to-state stability, Lur’e systems, positive realness, sector-bounded nonlinear operators

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