Factorization of multipliers in passivity and IQC analysis

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    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. © 2012 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    Pages (from-to)909-916
    Number of pages7
    Issue number5
    Publication statusPublished - May 2012


    • Absolute stability
    • Canonical factorization
    • IQC
    • Multipliers
    • Passivity


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