1. Reconciling \nu-Gap Metric and IQC Based Robust Stability Analysis.
- Author
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Khong, Sei Zhen and Cantoni, Michael
- Subjects
- *
METRIC spaces , *INTEGRAL quadratic constraints , *TOPOLOGY , *FACTORIZATION , *FACTORS (Algebra) - Abstract
This technical note elaborates on the flexibility of an approach that combines \nu-gap metric and integral quadratic constraint (IQC) based analysis in the study of uncertain feedback interconnections of distributed-parameter transfer functions. It is established that a standard \nu-gap ball robust stability result can be recovered within the blended IQC/\nu-gap framework, which only requires the existence of \nu-gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small \nu-gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the \nu-gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown to exist herein. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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