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Authors: MARIUS COSTANDIN, PETRU DOBRA, BOGDAN GAVREA.
DOI: 10.24193/subbmath.2017.3.05
Published Online: 2017-09-30
Published Print: 2017-09-30
pp. 325-329
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This paper presents a novel proof for the well-known Ackermann᾿s formula related to pole placement in linear time invariant systems. The proof uses a lemma [3], concerning rank one updates for matrices, often used to efficiently compute the determinants. The proof is given in great detail, but it can be summarized in a few lines.
Keywords: Eigenvalues placement algorithms, rank one updates, linear systems, matrix determinants.
Mathematics Subject Classification (2010): 26D10, 46N30
