Article ID Journal Published Year Pages File Type
4603042 Linear Algebra and its Applications 2006 19 Pages PDF
Abstract

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

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Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Stability of controlled invariant subspaces
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