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Triangular realization of rational functions ofNcomplex variables

✍ Scribed by Chen Dubi

Publisher
Springer US
Year
2007
Tongue
English
Weight
145 KB
Volume
19
Category
Article
ISSN
0923-6082

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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