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Option 1) seems easier to implement because it does not care about the position of the resets.
Option 2) could be interesting if the projection is easy to obtain because the set is already Cartesian (e.g., a CartesianProductArray from the low-dimensional continuous-time reachability or a Hyperrectangle from a box approximation).
The text was updated successfully, but these errors were encountered:
The reset map was added in MathematicalSystems#55. Perhaps we need a new function to transform it to matrix form. Because its apply function does not apply 😄 to sets, since it assumes that x is a vector in y[index] = value... we may extend apply(m::ResetMap, x::LazySet) with the projection as you propose above.
A special case of #273.
Two options:
Example: 2D, we want to reset the first variable to 3.
\begin{pmatrix} 0 0 \\ 0 1 \end{pmatrix}x + \{\binom{3}{0}\}
\{(3)\} \times \begin{pmatrix} 0 1 \end{pmatrix}x
Option 1) seems easier to implement because it does not care about the position of the resets.
Option 2) could be interesting if the projection is easy to obtain because the set is already Cartesian (e.g., a
CartesianProductArray
from the low-dimensional continuous-time reachability or aHyperrectangle
from a box approximation).The text was updated successfully, but these errors were encountered: