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

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

Crynodeb

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

Iaith wreiddiol	Anadnabyddus
Tudalennau (o-i)	65-71
Nifer y tudalennau	7
Cyfnodolyn	Systems and Control Letters
Cyfrol	66
Rhif cyhoeddi	1
Dyddiad ar-lein cynnar	19 Chwef 2014
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.sysconle.2014.01.003
Statws	Cyhoeddwyd - 1 Ebr 2014
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

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

Dyfynnu hyn

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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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T1 - On multipliers for bounded and monotone nonlinearities

AU - Carrasco, J.

AU - Heath, W.P.

AU - Lanzon, A.

PY - 2014/4/1

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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

U2 - 10.1016/j.sysconle.2014.01.003

DO - 10.1016/j.sysconle.2014.01.003

M3 - Erthygl

VL - 66

SP - 65

EP - 71

JO - Systems and Control Letters

JF - Systems and Control Letters

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