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CATEGORIES:CUED Control Group Seminars
SUMMARY:Stability\, Synchronisation and Model Reduction in
Nonlinear Systems - Edward Hancock\, University o
f Oxford
DTSTART;TZID=Europe/London:20150430T140000
DTEND;TZID=Europe/London:20150430T150000
UID:TALK59273AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/59273
DESCRIPTION:In this talk\, I will discuss three topics that we
have recently developed in nonlinear systems theo
ry. I will first discuss Generalised Absolute Stab
ility\, which is a general method of treating poly
nomial systems with non-polynomial\, uncertain or
time-varying feedback. Analysis is completed with
sum of squares programming\, and this method exten
ds both the applicability of sum of squares as wel
l as existing absolute stability theory. I will al
so introduce Restricted Partial Stability\, the de
velopment of which allows improved local and globa
l analysis methods for synchronisation of nonlinea
r networked systems. The work also allows a common
framework for synchronisation analysis of both os
cillator networks and power systems. Finally\, I w
ill briefly describe a model reduction technique f
or deriving reduced mechanistic models of gene reg
ulation\, as well as discussing applications of th
e models in system and synthetic biology.
LOCATION:Cambridge University Engineering Department\, LR3
CONTACT:Tim Hughes
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