Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems
arXiv:1208.6496
Abstract
We give algebraic characterizations of the properties of autonomy and of controllability of behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system pf partial differential equations corresponding to a polynomial matrix M in (C[ξ_1,...,ξ_d, τ])^{m \times n}.
10 pages