Algebraic characterization of approximate controllability of behaviours of spatially invariant systems

Abstract

An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system of homogeneous, linear, constant coefficient partial differential equations corresponding to a polynomial matrix.

arXiv comment10 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1208.6496