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>