On multipliers for bounded and monotone nonlinearities |
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Affiliation: | Control Systems Centre, School of Electrical and Electronic Engineering, The University of Manchester, Sackville Street Building, Manchester M13 9PL, UK |
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Abstract: | 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. |
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Keywords: | Bounded and monotone nonlinearities Zames–Falb multipliers Absolute stability |
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