Michael Cantoni
University of Melbourne

The use of integral quadratic constraints (IQCs) in robustness
analysis is well understood for feedback interconnections of open-loop
stable systems. In this talk, the standard framework will be reviewed
and then extended to directly accommodate feedback interconnections of
unstable distributed-parameter transfer functions. This involves the use
of transfer function homotopies that are continuous in the topology
induced by the nu-gap metric, while satisfying an IQC along the path.
Correspondingly, path-connectedness of uncertainty sets in the gap
topology will also be discussed.
Bio: Michael Cantoni received the Bachelor of Science (Applied Maths)
and Bachelor of Engineering (Electrical - Hons. I) degrees from The
University of Western Australia in 1995. In 1998, he completed a PhD at
The University of Cambridge, where he subsequently held post-doctoral
research positions until September 2000. Since then, Michael has been
with the Department of Electrical and Electronic Engineering at The
University of Melbourne, where he currently holds the position of
Associate Professor. His research interests include robust and optimal
control theory, model approximation, multidimensional and spatially
distributed systems, and the management of large-scale irrigation networks.

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