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Necessary Conditions for θ-Stability of Real Polynomials
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2016/08/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Systems and Control
Hurwitz stability, relative stability, θ-stability, necessary conditions,
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In this letter we present some easily checkable necessary conditions for a polynomial with positive coefficients to have all its zeros in a prescribed sector in the left half of the complex plane. As an auxiliary result, we also obtain a new necessary condition for the Hurwitz stability.