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SUMMARY:Integral Quadratic Constraint Theorem: A topological separation ap
 proach - Joaquin Carrasco Gomez\, University of Manchester
DTSTART:20160114T140000Z
DTEND:20160114T150000Z
UID:TALK63208@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:This seminar concerns the input/output stability of two system
 s in closed-loop where stability is ensured by using open-loop properties 
 of each subsystem. The literature is divided into consideration of time-do
 main and frequency-domain conditions. A complete time-domain approach is g
 iven by dissipative and topological separation theory\, where both conditi
 ons are given in the time-domain. On the other hand\, the frequency-domain
  integral quadratic constraints (IQCs) framework uses only frequency-domai
 n conditions. Between both extremes\, the classical multiplier approach an
 d the time-domain IQC framework can be seen as hybrid versions where one c
 ondition is tested in the time-domain and other condition is tested in the
  frequency-domain. The time-domain is more natural for nonlinear systems\,
  and subsystems may be unbounded in time-domain analysis. However\, the fr
 equency-domain has two advantages: firstly if one block is linear\, then f
 requency-domain analysis leads to elegant graphical and/or LMI conditions\
 ; secondly noncausal multipliers can be used.\n\nRecently the connection b
 etween frequency domain IQCs and dissipativity has been studied. Here we u
 se graph separation results to provide a unifying framework. In particular
  we show how a recent factorization result establishes a straightforward l
 ink\, completing an analysis suggested previously. This factorization lead
 s to a simple and insightful dissipative condition to analyse stability of
  the feedback interconnection.\n
LOCATION:Cambridge University Engineering Department\, LR5
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