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Algebraic characterisation of approximate controllability of behaviours of spatially invariant systems

Sasane, Amol (2019) Algebraic characterisation of approximate controllability of behaviours of spatially invariant systems. Systems and Control Letters. ISSN 0167-6911 (In Press)

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Abstract

An algebraic characterization of the property of approxi- mate controllability is given, for behaviours of spatially invariant dynam- ical systems, consisting of distributional solutions w, that are periodic in the spatial variables, to a system of partial differential equations M ﰆ ∂ , · · · , ∂ , ∂ ﰇ w = 0, ∂x1 ∂xd ∂t corresponding to a polynomial matrix M ∈ (C[ξ1,...,ξd,τ])m×n. This settles an issue left open in [17].

Item Type: Article
Official URL: https://www.sciencedirect.com/journal/systems-and-...
Divisions: Mathematics
Date Deposited: 13 Nov 2019 10:12
Last Modified: 08 Dec 2019 00:32
URI: http://eprints.lse.ac.uk/id/eprint/102520

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