Abstract
Given a pair of matrices (A, B) we study the stability of their invariant subspaces from a geometric point of view. The main tool is the manifold of quadruples ((A,B), F,S) where S is an (A,B)-invariant subspace and F is such that (A + BF)S ⊂ S. From the geometry of this manifold we derive sufficient computable conditions of stability.
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