Pairs of k-step reachability and m-step observability matrices
Augusto Ferrante, Hȧrald K. Wimmer · Special Matrices · 2013
Let V and W be matrices of size n × pk and qm × n , respectively. A necessary and sufficient condition is given for the existence of a triple (A,B,C) such that V a k -step reachability matrix of (A,B) andW an m -step observability matrix of (A,C).