Difference between revisions of "Errata: Explanation of the lack of zeros when B or C is full rank is confusing"
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Latest revision as of 17:14, 17 May 2008
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Location: page 240, line 11
In the paragraph following equation (8.17), the text states that there are no zeros if either the or matrix is "full rank". This wording is misleading since a nonsquare matrix can be full rank without having fully independent rows (for ) or columns (for ). The text should read
Notice in particular that if the matrix has full row rank, then the matrix in equation (8.17) has linearly independent rows for all values of . Similarly there are linearly independent columns if the matrix has full column rank. This implies that systems where the matrix or is square and full rank do not have zeros. In particular it means that a system has no zeros if it is fully actuated\index{fully actuated systems} (each state can be controlled independently) or if the full state is measured.
(Contributed by S. Fuller, 29 April 2008)