Pole placement for overdetermined 2D systems

We formulate and solve a pole placement problem by state feedback for overdetermined 2D systems modeled commutative operator vessels. In this setting, the transfer function of system is given meromorphic bundle map between two holomorphic vector bundles finite rank over normalization projective plane algebraic curve. The obstruction solution an existence certain on input bundle. Reducing to 1D case, gives functional which equivalent classical theorem. Our result improves on, new approach even in answers question Ball Vinnikov.