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Convex combinations of stable polynomials

✍ Scribed by S. Białas; J. Garloff

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
255 KB
Volume
319
Category
Article
ISSN
0016-0032

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✦ Synopsis

SuJicient conditions are given under which convex combinations of stable (complex and real) polynomials are stable.

📜 SIMILAR VOLUMES

Hadamard Products of Stable Polynomials
Hadamard Products of Stable Polynomials Are Stable
✍ Jürgen Garloff; David G. Wagner 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 157 KB

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 ex