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CATEGORIES:CUED Control Group Seminars
SUMMARY:Integral Quadratic Constraint Theorem: A topologic
al separation approach - Joaquin Carrasco Gomez\,
University of Manchester
DTSTART;TZID=Europe/London:20160114T140000
DTEND;TZID=Europe/London:20160114T150000
UID:TALK63208AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/63208
DESCRIPTION:This seminar concerns the input/output stability o
f two systems in closed-loop where stability is en
sured by using open-loop properties of each subsys
tem. The literature is divided into consideration
of time-domain and frequency-domain conditions. A
complete time-domain approach is given by dissipat
ive and topological separation theory\, where both
conditions are given in the time-domain. On the o
ther hand\, the frequency-domain integral quadrati
c constraints (IQCs) framework uses only frequency
-domain conditions. Between both extremes\, the cl
assical multiplier approach and the time-domain IQ
C framework can be seen as hybrid versions where o
ne condition is tested in the time-domain and othe
r 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 frequency-domain has two a
dvantages: firstly if one block is linear\, then f
requency-domain analysis leads to elegant graphica
l and/or LMI conditions\; secondly noncausal multi
pliers can be used.\n\nRecently the connection bet
ween frequency domain IQCs and dissipativity has b
een studied. Here we use graph separation results
to provide a unifying framework. In particular we
show how a recent factorization result establishes
a straightforward link\, completing an analysis s
uggested previously. This factorization leads to a
simple and insightful dissipative condition to an
alyse stability of the feedback interconnection.\n
LOCATION:Cambridge University Engineering Department\, LR5
CONTACT:Tim Hughes
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