Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems
Sasane, A.
(2013).
Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems.
Mathematical Control and Related Fields,
4(1), 115-124.
https://doi.org/10.3934/mcrf.2014.4.115
(2013).
Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems.
Mathematical Control and Related Fields,
4(1), 115-124.
https://doi.org/10.3934/mcrf.2014.4.115
We give algebraic characterizations of the properties of autonomy and of controllability of behaviours of spatially invariant dynamical systems, consisting of distributional solutions w, that are periodic in the spatial variables, to a system of partial differential equations corresponding to a polynomial matrix M G (C[ξ1,..., ξd, τ])mXn.