Factorization of multipliers in passivity and IQC analysis
Research output: Contribution to conference › Paper › peer-review
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2012. 6054-6059 Paper presented at 2011 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, United States.
Research output: Contribution to conference › Paper › peer-review
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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 -