Invariant spaces at infinity of linear systems application to block decoupling

The dynamic state feedback block decoupling problem in the general case, i.e. with singular or nonsingular input transformations, is solved. It is proven that the problem is solvable if the number of inputs is large enough. The main tools for this study are some invariant spaces associated with the columns infinite behavior of a rational matrix. It turns out that when the problem is solvable, it is also solvable with stability.<
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