BEN GURION UNIVERSITY OF THE NEGEV
            DEPARTMENT OF MATHEMATICS
 
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       Operator and System Theory Seminar
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SPEAKER: Liran Shaul, BGU
 
TITLE:   State feedback for overdetermined 2D systems: Pole placement for bundle maps over an algebraic curve
 
DATE:    Monday, January 23, 2012
 
PLACE:   Room -101, Mathematics Building, BGU
 
TIME:	 14:10
 
ABSTRACT:
 
We discuss the pole placement problem for overdetermined multidimensional
systems. We study such systems by a related notion called a Livsic-Kravitsky
commutative operator vessel. Such a vessel naturally give rise to
a compact Riemann surface $X$, two holomorphic vector bundles $E$ and $F$
on $X$, and a meromorphic bundle map $T:E\to F$, the transfer function
of the system. We shall discuss state feedback for these kind of systems,
and show how the Picard group of $X$ provides an obstruction for shifting
the poles of $T$ using state feedback. We end the talk with possible future
applications of the theory of vessels to the (multi-valued) Nevanlinna-Pick
interpolation problem on multiply connected domains.
 
Based on a joint work with Victor Vinnikov.
 
For further announcements see
 <http://www.math.bgu.ac.il/~vinnikov/otseminar>
 
For further information please contact:
 
Daniel Alpay   <dany@math.bgu.ac.il> , phone: 08-6461603
Victor Vinnikov   <vinnikov@math.bgu.ac.il> , phone: 08-6461618
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Victor Vinnikov   <vinnikov@cs.bgu.ac.il>