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The Zames-Falb IQC for systems with integrators
2000 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 45, no 3, 560-565 p.Article in journal (Refereed) Published
Abstract [en]

A feedback interconnection of a neutrally stable, linear time-invariant system and a nonlinearity with 0 less than or equal to x phi(x) less than or equal to kx(2) is called critical because the worst case linearization is at best neutrally stable. This characteristic makes the stability analysis of such systems particularly hard. It will be shown that an integrator and a sector bounded nonlinearity can be encapsulated in a bounded operator that satisfies several useful integral quadratic constraints, which gives powerful tools for stability analysis of a general class of critically stable systems.

Place, publisher, year, edition, pages
2000. Vol. 45, no 3, 560-565 p.
Keyword [en]
integral quadratic constraints (IQC), stability, unbounded operators
URN: urn:nbn:se:kth:diva-19844ISI: 000087712300025OAI: diva2:338536
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Jönsson, Ulf T.
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