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Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems

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}.

preprint2012arXivOpen access
Amol Sasane
math.APmath.OCmath.AG
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Open access1 author3 topics
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Amol Sasane

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