On multipliers for bounded and monotone nonlinearities

Joaquin Carrasco; William P. Heath; Alexander Lanzon

doi:10.1016/j.sysconle.2014.01.003

On multipliers for bounded and monotone nonlinearities

Joaquin Carrasco, William P. Heath, Alexander Lanzon

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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. © 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.

Original language	English
Pages (from-to)	65-71
Number of pages	6
Journal	Systems and Control Letters
Volume	66
Issue number	1
DOIs	https://doi.org/10.1016/j.sysconle.2014.01.003
Publication status	Published - Apr 2014

Keywords

Absolute stability
Bounded and monotone nonlinearities
Zames-Falb multipliers

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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. {\textcopyright} 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.",

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T1 - On multipliers for bounded and monotone nonlinearities

AU - Carrasco, Joaquin

AU - Heath, William P.

AU - Lanzon, Alexander

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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. © 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.

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. © 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.

KW - Absolute stability

KW - Bounded and monotone nonlinearities

KW - Zames-Falb multipliers

U2 - 10.1016/j.sysconle.2014.01.003

DO - 10.1016/j.sysconle.2014.01.003

M3 - Article

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VL - 66

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EP - 71

JO - Systems and Control Letters

JF - Systems and Control Letters

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ER -

On multipliers for bounded and monotone nonlinearities

Abstract

Keywords

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