Construction of robustly stable interval polynomial

2015 ◽  
pp. 369-372
Author(s):  
T Ezangina ◽  
S Gayvoronskiy ◽  
S Efimov
Keyword(s):  
Interval Polynomial

Bounds for an interval polynomial

Computing ◽  
1977 ◽  
Vol 18 (3) ◽  
pp. 225-240 ◽  
Author(s):  
J. Rokne
Keyword(s):  
Interval Polynomial

scholarly journals Properties of the Set of Hadamardized Hurwitz Polynomials

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Baltazar Aguirre-Hernández ◽  
Edgar-Cristian Díaz-González ◽  
Carlos-Arturo Loredo-Villalobos ◽  
Faustino-Ricardo García-Sosa
Keyword(s):  
Hadamard Product ◽  
Differential Topology ◽  
Fourth Degree ◽  
Hurwitz Polynomial ◽  
Interval Polynomial ◽  
Hurwitz Polynomials ◽  
Connected Set ◽  
Polynomial Family

We say that a Hurwitz polynomialptis a Hadamardized polynomial if there are two Hurwitz polynomialsftandgtsuch thatf∗g=p, wheref∗gis the Hadamard product offandg. In this paper, we prove that the set of all Hadamardized Hurwitz polynomials is an open, unbounded, nonconvex, and arc-connected set. Furthermore, we give a result so that a fourth-degree Hurwitz interval polynomial is a Hadamardized polynomial family and we discuss an approach of differential topology in the study of the set of Hadamardized Hurwitz polynomials.

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