Title
Reconciling $\nu$ -Gap Metric and IQC Based Robust Stability Analysis.
Abstract
This technical note elaborates on the flexibility of an approach that combines -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 -gap ball robust stability result can be recovered within the blended IQC/-gap framework, which only requires the existence of -gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small -gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the -gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown to exist herein.
Year
DOI
Venue
2013
10.1109/TAC.2013.2246496
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Measurement,Transfer functions,Robust stability,Topology,Algebra,Standards,Uncertainty
Graph theory,Mathematical optimization,Control theory,Ball (bearing),Quadratic equation,Integral equation,Transfer function,Distributed parameter system,Robust control,Topological graph theory,Mathematics
Journal
Volume
Issue
ISSN
58
8
0018-9286
Citations 
PageRank 
References 
1
0.37
6
Authors
2
Name
Order
Citations
PageRank
Sei Zhen Khong111318.92
Michael Cantoni223938.80