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SUMMARY:Stability\, Synchronisation and Model Reduction in Nonlinear Syste
 ms - Edward Hancock\, University of Oxford
DTSTART:20150430T130000Z
DTEND:20150430T140000Z
UID:TALK59273@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:In this talk\, I will discuss three topics that we have recent
 ly developed in nonlinear systems theory. I will first discuss Generalised
  Absolute Stability\, which is a general method of treating polynomial sys
 tems with non-polynomial\, uncertain or time-varying feedback. Analysis is
  completed with sum of squares programming\, and this method extends both 
 the applicability of sum of squares as well as existing absolute stability
  theory. I will also introduce Restricted Partial Stability\, the developm
 ent of which allows improved local and global analysis methods for synchro
 nisation of nonlinear networked systems. The work also allows a common fra
 mework for synchronisation analysis of both oscillator networks and power 
 systems. Finally\, I will briefly describe a model reduction technique for
  deriving reduced mechanistic models of gene regulation\, as well as discu
 ssing applications of the models in system and synthetic biology.
LOCATION:Cambridge University Engineering Department\, LR3
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