Constructing convex directions for stable polynomials
Author(s)
Date
2000Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
Publisher
IEEE
Volume
45
Issue
8
Pages
1565 - 1569
Language
English
Type
ArticleItem Usage Stats
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Abstract
The constructions of convex directions based on phase-derivative interpretations were obtained for Hurwitz-stable polynomials. The phase-derivative conditions were based on the sensitivity of root-locus associated with the even and odd parts of a polynomial. The phase-growth condition directly established anti-Hurwitz polynomials, polynomials of degree one, even polynomials and odd polynomials for the entire set of Hurwitz polynomials.
Keywords
Boundary conditionsMathematical models
Stability
Theorem proving
Convex direction
Hermite biehler theorem
Hurwitz stable polynomials
Robust control
Polynomials