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Hadamard Products of Stable Polynomials Are Stable

✍ Scribed by Jürgen Garloff; David G. Wagner

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
157 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis

A real polynomial is asymptotically stable when all of its zeros lie in the open Ž . left half of the complex plane. We show that the Hadamard coefficient-wise product of two stable polynomials is again stable, improving upon some known results. Via the associated Hurwitz matrices we find another example of a class of totally nonnegative matrices which is closed under Hadamard multiplication.

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