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Under zero boundary inputs, it is shown that the C0-semigroup describing the closed-loop system satisfies the spectrum determined growth condition.
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Another input boundary is the western boundary, but it is much weaker than the southern boundary.
PHAT only takes a boundary matrix as input, so it is not possible to conduct a direct comparison of it with the other implementations.
Its application to the vibration control of a non-uniform plate with boundary inputs is investigated.
Taking into account different modes when calculating the vibrational field as input into the boundary element calculations, it is possible to identify individual modes or groups of modes of special relevance for the radiated sound power.
Additionally, the stabilization of an underactuated system of two coupled reaction diffusion processes is tackled under the restriction that only a scalar boundary input is available.
A Shell is not validated explicitly (no input possible), but it is implied as the boundary of a Solid.
In cases where the input sequence contains untranslated regions, it is assumed that the coding boundary is known.
In order to stabilize the system with boundary input, sensor influence functions are assumed to be located at interior of the domain.
But it is an input, not an output, measure.
It is forged at its boundaries.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com