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).
@article{bwmeta1.element.doi-10_2478_spma-2013-0005, author = {Augusto Ferrante and Harald K. Wimmer}, title = { Pairs of k -step reachability and m -step observability matrices }, journal = {Special Matrices}, volume = {1}, year = {2013}, pages = {25-27}, zbl = {1291.15003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_spma-2013-0005} }
Augusto Ferrante; Harald K. Wimmer. Pairs of k -step reachability and m -step observability matrices . Special Matrices, Tome 1 (2013) pp. 25-27. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_spma-2013-0005/
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