On multipliers for bounded and monotone nonlinearities

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  • Joaquin Carrasco
    University of Manchester
  • William P. Heath
    University of Manchester
  • Alexander Lanzon
    University of Manchester
Recent results in equivalence between classes of multipliers for slope-restricted nonlinearities are extended to multipliers for bounded and monotone nonlinearities. This extension requires a slightly modified version of the Zames--Falb theorem and a more general definition of phase--substitution. The results in this paper resolve apparent contradictions in the literature on classes of multipliers for bounded and
monotone nonlinearities.
Original languageEnglish
Title of host publication2013 European Control Conference (ECC)
PublisherIEEE
Pages1711-1716
Number of pages6
DOIs
Publication statusPublished - Jul 2013
Externally publishedYes
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