Factorization of multipliers in passivity and IQC analysis

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

doi:10.1109/CDC.2011.6160347

Factorization of multipliers in passivity and IQC analysis

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

University of Manchester

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

Crynodeb

Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization

Iaith wreiddiol	Anadnabyddus
Tudalennau	6054-6059
Nifer y tudalennau	6
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1109/CDC.2011.6160347
Statws	Cyhoeddwyd - 1 Maw 2012
Cyhoeddwyd yn allanol	Ie
Digwyddiad	2011 50th IEEE Conference on Decision and Control and European Control Conference - Orlando, Yr Unol Daleithiau Hyd: 12 Rhag 2011 → 15 Rhag 2011

Cynhadledd

Cynhadledd	2011 50th IEEE Conference on Decision and Control and European Control Conference
Gwlad/Tiriogaeth	Yr Unol Daleithiau
Dinas	Orlando
Cyfnod	12/12/11 → 15/12/11

Mynediad at Ddogfen

10.1109/CDC.2011.6160347

Dyfynnu hyn

@conference{6defcc2939194167b6afcfe5bd1b2f30,

title = "Factorization of multipliers in passivity and IQC analysis",

abstract = "Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization",

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

year = "2012",

month = mar,

day = "1",

doi = "10.1109/CDC.2011.6160347",

language = "Anadnabyddus",

pages = "6054--6059",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference ; Conference date: 12-12-2011 Through 15-12-2011",

}

TY - CONF

T1 - Factorization of multipliers in passivity and IQC analysis

AU - Carrasco, J.

AU - Heath, W.P.

AU - Lanzon, A.

PY - 2012/3/1

Y1 - 2012/3/1

N2 - Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization

AB - Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization

U2 - 10.1109/CDC.2011.6160347

DO - 10.1109/CDC.2011.6160347

M3 - Papur

SP - 6054

EP - 6059

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference

Y2 - 12 December 2011 through 15 December 2011

ER -