✦ LIBER ✦

Robust stability of convex and compact sets of complex polynomials

✍ Scribed by Y.Q. Shi; H. Zhang

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 499 KB
Volume: 332
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(95)00060-7

No coin nor oath required. For personal study only.

✦ Synopsis

A necessary and sufficient condition for a convex and compact set of complex polynomials to be strictly Hurwitz is 9iven. The result implies and 9eneralizes several results on strict Hurwitz property of polynomials. In particular, our result covers the "edge theorem" fbr polytopes of strictly Hurwitz polynomials and requires weaker conditions than the "'edge theorem". It is also shown that previously established results on the robust strict Hurwitzness of diamond polynomials can be implied by our result. Finally, applying the result, we derive a new result on the robust positivity of a complex diamond rational.Junction.

📜 SIMILAR VOLUMES

Robust Schur stability of a complex-coef

Robust Schur stability of a complex-coefficient polynomials set with coefficients in a diamond

✍ A. Katbab; E.I. Jury 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 603 KB

Strict Schur property of' a complex-co@icient ,family of polynomials uxith the transformed coe@cients varying in a diamond is considered. It is proved that the checking of eight edge polynomials provides necessary and s@cient conditions for the strict Schur property of the transformed .family of per

Compactness and Convexity on the Space o

Compactness and Convexity on the Space of Fuzzy Sets

✍ Yun Kyong Kim 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 99 KB

In this paper, a criterion for which the convex hull of is relatively compact is given when is a relatively compact subset of the space R p of fuzzy sets endowed with the Skorokhod topology. Also, some examples are given to illustrate the criterion.

Derived and integrated sets of simple se

Derived and integrated sets of simple sets of polynomials in two complex variables

✍ W.F Kumuyi; M Nassif 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 642 KB

Counterexample and correction to a resul

Counterexample and correction to a result on robust Schur stability of a complex-coefficient polynomials set with coefficients in a diamond

✍ K.K. Yen; S.F. Zhou 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 511 KB

In Ref. (1) , Schur stability of a family of polynomials with transformed coefficients varying in a diamond has been studied. A necessary and sufficient condition was given for the stability of the entire family if a selected set of eight edge polynomials was stable. In this paper, we show via a co

Mean value of compact convex sets, Day's

Mean value of compact convex sets, Day's fixed point theorem and invariant subspaces

✍ P Iversen 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 491 KB

Characterizations of Nonemptiness and Co

Characterizations of Nonemptiness and Compactness of the Set of Weakly Efficient Solutions for Convex Vector Optimization and Applications

✍ X.X. Huang; X.Q. Yang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 134 KB

In this paper, we give characterizations for the nonemptiness and compactness of the set of weakly efficient solutions of an unconstrained/constrained convex vector optimization problem with extended vector-valued functions in terms of the 0-coercivity of some scalar functions. Finally, we apply the