On multipliers for bounded and monotone nonlinearities

J. Carrasco; W.P. Heath; A. Lanzon

doi:10.1016/j.sysconle.2014.01.003

On multipliers for bounded and monotone nonlinearities

J. Carrasco
, W.P. Heath
, A. Lanzon

University of Manchester

Research output: Contribution to journal › Article › peer-review

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

Original language	Unknown
Pages (from-to)	65-71
Number of pages	7
Journal	Systems and Control Letters
Volume	66
Issue number	1
Early online date	19 Feb 2014
DOIs	https://doi.org/10.1016/j.sysconle.2014.01.003
Publication status	Published - 1 Apr 2014
Externally published	Yes

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10.1016/j.sysconle.2014.01.003Licence: CC BY-NC-ND

Cite this

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title = "On multipliers for bounded and monotone nonlinearities",

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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AU - Carrasco, J.

AU - Heath, W.P.

AU - Lanzon, A.

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N2 - 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

AB - 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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