Let V and W be matrices of size n x pk and qm x n, respectively. A necessary and sufficient condition is given for the existence of a triple (A,B,C) such that V is a k-step reachability matrix of (A,B) and W an m-step observability matrix of (A,C).
Pairs of k-step reachability and m-step observability matrices
FERRANTE, AUGUSTO;
2013
Abstract
Let V and W be matrices of size n x pk and qm x n, respectively. A necessary and sufficient condition is given for the existence of a triple (A,B,C) such that V is a k-step reachability matrix of (A,B) and W an m-step observability matrix of (A,C).
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