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E.L Verriest and J.A. Kullstam
Let H denote the concatenation of/4 and y
As shown in [2,3], concatenation of the outputs contributes n new dimensions to the space
spanned by the inputs i.e. rank (H) = rank(/4)+ rank(x). These n new dimensions are
attributed to the effects of the state and are used to infer a state realization.
Now let
U[t] /41 H2 = = . (24)
//1 -~ y[t] = Yl ' y[t
+ kN] Y2
The state realization is generated from the relation
rowspan(x2) = rowspan(H1) N rowspan(H2). (25)
Therefore, the main computational task of the subspace algorithm in generating a state ...