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.