Factorization of multipliers in passivity and IQC analysis
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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Yn: Automatica, Cyfrol 48, Rhif 5, 01.05.2012, t. 909-916.
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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TY - JOUR
T1 - Factorization of multipliers in passivity and IQC analysis
AU - Carrasco, J.
AU - Heath, W.P.
AU - Lanzon, A.
PY - 2012/5/1
Y1 - 2012/5/1
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 - 10.1016/j.automatica.2012.02.035
DO - 10.1016/j.automatica.2012.02.035
M3 - Erthygl
VL - 48
SP - 909
EP - 916
JO - Automatica
JF - Automatica
IS - 5
ER -