Abstract | ||
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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 |
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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 Khong | 1 | 113 | 18.92 |
Michael Cantoni | 2 | 239 | 38.80 |