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SUMMARY:Model Reduction by Moment Matching at Poles for Linear and Nonline
 ar Systems - Alberto Padoan\, University of Cambridge
DTSTART:20171102T140000Z
DTEND:20171102T150000Z
UID:TALK85791@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:This talk is divided in two parts. The first part of the talk 
 is focused on the model reduction problem for continuous-time\, linear\, t
 ime-invariant systems at poles of the transfer function. The notion of mom
 ent is first extended to poles of the transfer function\, where moments ar
 e classically not defined. The moments at a pole of the transfer function 
 are then shown to be uniquely specified by the solution of certain Sylvest
 er equations. This allows to construct reduced order models which preserve
  given poles and match the corresponding moments. In the second part of th
 e talk\, the classical notions of eigenvalue and of pole of a linear syste
 m are revisited adopting a geometric approach and extended to nonlinear sy
 stems. The proposed definitions are then used to pose and solve the model 
 reduction problem at poles for nonlinear systems. The theory is illustrate
 d by means of simple worked-out examples.
LOCATION:Cambridge University Engineering Department\, Lecture Room number
  LR10
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