I have a sysid problem of the type:
$Y = AX$,
where X is a matrix whose columns are different input vectors, and Y is the output. Therefore, A is a general matrix that maps all the input vectors(samples I have) to its output.
Image that I input one input vector at a time (columns of X), then:
$y_i = A_i x_i$
Is there a way to map A to $A_i$? Note that the matrices have the same dimension. How to assess the structure of A to find the $A_i$s?
Tks