On multipliers for bounded and monotone nonlinearities

Joaquin Carrasco; William P. Heath; Alexander Lanzon

doi:10.23919/ECC.2013.6669101

On multipliers for bounded and monotone nonlinearities

Joaquin Carrasco, William P. Heath, Alexander Lanzon

University of Manchester

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › 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	English
Title of host publication	2013 European Control Conference (ECC)
Publisher	IEEE
Pages	1711-1716
Number of pages	6
DOIs	https://doi.org/10.23919/ECC.2013.6669101
Publication status	Published - Jul 2013
Externally published	Yes

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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 - Heath, William P.

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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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DO - 10.23919/ECC.2013.6669101

M3 - Conference contribution

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EP - 1716

BT - 2013 European Control Conference (ECC)

PB - IEEE

ER -

On multipliers for bounded and monotone nonlinearities

Abstract

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