Abstract
Let ( A , B ) ∈ C n × n × C n × m and M be an ( A, B)-invariant subspace. Let C ( A , B ) be the controllability subspace of the pair ( A, B). If M ∩ C ( A , B ) = M ∩ Im B , under additional hypotheses, necessary and sufficient conditions for the stability of the subspace M are given.
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