Equivalence between classes of multipliers for slope-restricted nonlinearities

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

doi:10.1109/CDC.2012.6427017

Equivalence between classes of multipliers for slope-restricted nonlinearities

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

University of Manchester

Allbwn ymchwil: Cyfraniad at gynhadledd › Papur › adolygiad gan gymheiriaid

Crynodeb

Different classes of multipliers have been proposed in the literature for obtaining stability criteria using passivity theory, integral quadratic constraint (IQC) theory or Lyapunov theory. Some of these classes of multipliers can be applied with slope-restricted nonlinearities. In this paper the concept of phase-containment is defined and it is shown that several classes are phase-contained within the class of Zames-Falb multipliers. There are two main consequences: firstly it follows that the class of Zames-Falb multipliers remains, to date, the widest class of available multipliers for slope-restricted nonlinearities; secondly further restrictions may be avoided when applying some of the other classes of multipliers.

Iaith wreiddiol	Anadnabyddus
Tudalennau	2262-2267
Nifer y tudalennau	6
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1109/CDC.2012.6427017
Statws	Cyhoeddwyd - 13 Chwef 2013
Cyhoeddwyd yn allanol	Ie
Digwyddiad	2012 IEEE 51st IEEE Conference on Decision and Control (CDC) - maui, Yr Unol Daleithiau Hyd: 10 Rhag 2012 → 13 Rhag 2012

Cynhadledd

Cynhadledd	2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
Gwlad/Tiriogaeth	Yr Unol Daleithiau
Dinas	maui
Cyfnod	10/12/12 → 13/12/12

Mynediad at Ddogfen

10.1109/CDC.2012.6427017

Dyfynnu hyn

@conference{b2895cfe89b646a4b912b032623b897c,

title = "Equivalence between classes of multipliers for slope-restricted nonlinearities",

abstract = "Different classes of multipliers have been proposed in the literature for obtaining stability criteria using passivity theory, integral quadratic constraint (IQC) theory or Lyapunov theory. Some of these classes of multipliers can be applied with slope-restricted nonlinearities. In this paper the concept of phase-containment is defined and it is shown that several classes are phase-contained within the class of Zames-Falb multipliers. There are two main consequences: firstly it follows that the class of Zames-Falb multipliers remains, to date, the widest class of available multipliers for slope-restricted nonlinearities; secondly further restrictions may be avoided when applying some of the other classes of multipliers.",

author = "J. Carrasco and W.P. Heath and A. Lanzon",

year = "2013",

month = feb,

day = "13",

doi = "10.1109/CDC.2012.6427017",

language = "Anadnabyddus",

pages = "2262--2267",

note = "2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ; Conference date: 10-12-2012 Through 13-12-2012",

}

TY - CONF

T1 - Equivalence between classes of multipliers for slope-restricted nonlinearities

AU - Carrasco, J.

AU - Heath, W.P.

AU - Lanzon, A.

PY - 2013/2/13

Y1 - 2013/2/13

N2 - Different classes of multipliers have been proposed in the literature for obtaining stability criteria using passivity theory, integral quadratic constraint (IQC) theory or Lyapunov theory. Some of these classes of multipliers can be applied with slope-restricted nonlinearities. In this paper the concept of phase-containment is defined and it is shown that several classes are phase-contained within the class of Zames-Falb multipliers. There are two main consequences: firstly it follows that the class of Zames-Falb multipliers remains, to date, the widest class of available multipliers for slope-restricted nonlinearities; secondly further restrictions may be avoided when applying some of the other classes of multipliers.

AB - Different classes of multipliers have been proposed in the literature for obtaining stability criteria using passivity theory, integral quadratic constraint (IQC) theory or Lyapunov theory. Some of these classes of multipliers can be applied with slope-restricted nonlinearities. In this paper the concept of phase-containment is defined and it is shown that several classes are phase-contained within the class of Zames-Falb multipliers. There are two main consequences: firstly it follows that the class of Zames-Falb multipliers remains, to date, the widest class of available multipliers for slope-restricted nonlinearities; secondly further restrictions may be avoided when applying some of the other classes of multipliers.

U2 - 10.1109/CDC.2012.6427017

DO - 10.1109/CDC.2012.6427017

M3 - Papur

SP - 2262

EP - 2267

T2 - 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

Y2 - 10 December 2012 through 13 December 2012

ER -