✦ LIBER ✦

Further Realizations of Rational Numbers

✍ Scribed by Karni, Shlomo

Book ID: 114615000
Publisher: IEEE
Year: 1968
Tongue: English
Weight: 368 KB
Volume: 11
Category: Article
ISSN: 0018-9359
DOI: 10.1109/te.1968.4320331

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If (A, B, C) is an (entrywise) nonnegative realization of a rational matrix function W (i.e. W(I) = C(1 -A))'B for 1.6 o(A)) vanishing at infinity, then Y(W) := inf{r 2 0: W has no poles i, with r < [Ai} is a pole of Wand r(A) := spectral radius of A is an eigenvalue of A. We prove that, if the real