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- W2146115574 abstract "A closed-form finite series representation of the unique solution X of the matrix equation AX − XB=C is developed. Using this representation, the image, kernel, and rank of X are related to the controllable and unobservable subspaces of the (A, C) and (C, B) pairs respectively. Bounds on the rank of X are obtainedin terms of the dimensions of these subspaces. In the case that C has unitary rank, an exact calculation of rank X is made. The generic rank of X with A, B fixed and C generic is evaluated." @default.
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- W2146115574 date "1981-08-01" @default.
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- W2146115574 title "Controllability, observability and the solution of AX - XB = C" @default.
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- W2146115574 doi "https://doi.org/10.1016/0024-3795(81)90301-3" @default.
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