Abstract
This paper studies the notions of time-autonomy and (exact) time-controllability of behaviours with respect to a certain mild space, which while being not too general, encompasses natural partial differential equation solutions and excludes certain pathological ones. We give an algebraic characterization of the property of time-autonomy and also give necessary and sufficient conditions for the time-controllability of behaviours with respect to the space of distributions on \(\mathbb{R}^2\) that are tempered in the spatial direction.
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Sasane, A.J. Time-Autonomy and Time-Controllability of 2-D Behaviours that are Tempered in the Spatial Direction. Multidimensional Systems and Signal Processing 15, 97–116 (2004). https://doi.org/10.1023/B:MULT.0000017021.88549.91
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DOI: https://doi.org/10.1023/B:MULT.0000017021.88549.91