Factorization of multipliers in passivity and IQC analysis

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DOI

  • J. Carrasco
    University of Manchester
  • W.P. Heath
    University of Manchester
  • A. Lanzon
    University of Manchester
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
Original languageUnknown
Pages6054-6059
Number of pages6
DOIs
Publication statusPublished - 1 Mar 2012
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference - Orlando, United States
Duration: 12 Dec 201115 Dec 2011

Conference

Conference2011 50th IEEE Conference on Decision and Control and European Control Conference
Country/TerritoryUnited States
CityOrlando
Period12/12/1115/12/11
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