Białas, Stanisław; Góra, Michał On the existence of Hurwitz polynomials with no Hadamard factorization. (English) Zbl 1437.26014 Electron. J. Linear Algebra 36, 210-213 (2020). MSC: 26C10 30C15 PDF BibTeX XML Cite \textit{S. Białas} and \textit{M. Góra}, Electron. J. Linear Algebra 36, 210--213 (2020; Zbl 1437.26014) Full Text: Link
Tyaglov, Mikhail Self-interlacing polynomials. (English) Zbl 1398.12003 Linear Algebra Appl. 535, 12-34 (2017). MSC: 12D10 26C10 26C15 30C10 30C15 15B05 PDF BibTeX XML Cite \textit{M. Tyaglov}, Linear Algebra Appl. 535, 12--34 (2017; Zbl 1398.12003) Full Text: DOI arXiv
Loredo-Villalobos, Carlos Arturo; Aguirre-Hernández, Baltazar Hadamard factorization of Hurwitz stable polynomials. (English) Zbl 1321.93057 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 22, No. 4, 325-332 (2015). MSC: 93D99 26C05 12D05 PDF BibTeX XML Cite \textit{C. A. Loredo-Villalobos} and \textit{B. Aguirre-Hernández}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 22, No. 4, 325--332 (2015; Zbl 1321.93057) Full Text: Link
Ocheretnzuk, E. V.; Slyn’ko, V. I. Stability of steady rotation of a dynamically symmetric rigid body suspended on a string with variable length. (Russian. English summary) Zbl 1325.70010 Din. Sist., Simferopol’ 2(30), No. 3-4, 285-292 (2012). MSC: 70E05 70E50 PDF BibTeX XML Cite \textit{E. V. Ocheretnzuk} and \textit{V. I. Slyn'ko}, Din. Sist., Simferopol' 2(30), No. 3--4, 285--292 (2012; Zbl 1325.70010)
Katsnelson, Victor Stieltjes functions and Hurwitz stable entire functions. (English) Zbl 1243.30063 Complex Anal. Oper. Theory 5, No. 2, 611-630 (2011). Reviewer: Igor Chyzhykov (Lviv) MSC: 30D15 30C15 43A80 70E50 PDF BibTeX XML Cite \textit{V. Katsnelson}, Complex Anal. Oper. Theory 5, No. 2, 611--630 (2011; Zbl 1243.30063) Full Text: DOI arXiv
Akyar, Handan On contractibility properties of families of stable polynomials. (English) Zbl 1191.93117 Int. Math. Forum 4, No. 41-44, 2149-2156 (2009). MSC: 93D05 PDF BibTeX XML Cite \textit{H. Akyar}, Int. Math. Forum 4, No. 41--44, 2149--2156 (2009; Zbl 1191.93117) Full Text: Link
Katkova, Olga M.; Vishnyakova, Anna M. On the stability of Taylor sections of a function \(\Sigma _{k=0}^{\infty } z^{k}/a^{k^{2}}, a>1\). (English) Zbl 1167.30004 Comput. Methods Funct. Theory 9, No. 1, 305-322 (2009). Reviewer: V. Karunakaran (Madurai) MSC: 30C15 20D15 26C10 34D99 PDF BibTeX XML Cite \textit{O. M. Katkova} and \textit{A. M. Vishnyakova}, Comput. Methods Funct. Theory 9, No. 1, 305--322 (2009; Zbl 1167.30004) Full Text: DOI Link
Katkova, Olga M.; Vishnyakova, Anna M. A sufficient condition for a polynomial to be stable. (English) Zbl 1146.30005 J. Math. Anal. Appl. 347, No. 1, 81-89 (2008). Reviewer: Yasur Polatoglu (Instanbul) MSC: 30C10 PDF BibTeX XML Cite \textit{O. M. Katkova} and \textit{A. M. Vishnyakova}, J. Math. Anal. Appl. 347, No. 1, 81--89 (2008; Zbl 1146.30005) Full Text: DOI
Aguirre, Baltazar; Suárez, Rodolfo Algebraic test for the Hurwitz stability of a given segment of polynomials. (English) Zbl 1141.93043 Bol. Soc. Mat. Mex., III. Ser. 12, No. 2, 261-275 (2006). MSC: 93D09 34D99 93C05 PDF BibTeX XML Cite \textit{B. Aguirre} and \textit{R. Suárez}, Bol. Soc. Mat. Mex., III. Ser. 12, No. 2, 261--275 (2006; Zbl 1141.93043)
Peña, J. M. Characterizations and stable tests for the Routh–Hurwitz conditions and for total positivity. (English) Zbl 1068.15033 Linear Algebra Appl. 393, 319-332 (2004). Reviewer: Rabe von Randow (Bonn) MSC: 15B48 26C10 PDF BibTeX XML Cite \textit{J. M. Peña}, Linear Algebra Appl. 393, 319--332 (2004; Zbl 1068.15033) Full Text: DOI
Momot, I. P. Inductive schemes for studying stability of polynomials and matrices. (Ukrainian. English summary) Zbl 1075.93530 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 8, 101-106 (2002). Reviewer: I. O. Parasyuk (Kyïv) MSC: 93D05 26C10 34D20 PDF BibTeX XML Cite \textit{I. P. Momot}, Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 8, 101--106 (2002; Zbl 1075.93530)
Özgüler, A. Bülent Constructing convex directions for stable polynomials. (English) Zbl 0991.93093 IEEE Trans. Autom. Control 45, No. 8, 1565-1569 (2000). MSC: 93D09 93B40 PDF BibTeX XML Cite \textit{A. B. Özgüler}, IEEE Trans. Autom. Control 45, No. 8, 1565--1569 (2000; Zbl 0991.93093) Full Text: DOI
Panaitopol, L.; Ştefănescu, D. Stable polynomials and applications to polynomial factorization. (English) Zbl 0969.12001 An. Univ. Bucur., Mat.-Inform. 46, 3-14 (1997). Reviewer: Dragoş Vaida (Bucureşti) MSC: 12D10 12Y05 PDF BibTeX XML Cite \textit{L. Panaitopol} and \textit{D. Ştefănescu}, An. Univ. Bucureşti, Mat.-Inform. 46, 3--14 (1997; Zbl 0969.12001)
Cendra, H.; Salthu, R.; Torresi, A. Finding nondegenerate Hopf bifurcation points for four-dimensional two-parametric systems. (English) Zbl 0916.65054 Comput. Math. Appl. 33, No. 12, 115-124 (1997). MSC: 65H17 PDF BibTeX XML Cite \textit{H. Cendra} et al., Comput. Math. Appl. 33, No. 12, 115--124 (1997; Zbl 0916.65054) Full Text: DOI
Garloff, Jürgen; Wagner, David G. Preservation of total nonnegativity under the Hadamard product and related topics. (English) Zbl 0891.15015 Gasca, Mariano (ed.) et al., Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26–30, 1994. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 359, 97-102 (1996). MSC: 15B48 12D10 PDF BibTeX XML Cite \textit{J. Garloff} and \textit{D. G. Wagner}, in: Total positivity and its applications. Meeting, Zaragoza in Jaca, Spain, September 26--30, 1994. Dordrecht: Kluwer Academic Publishers. 97--102 (1996; Zbl 0891.15015)
Garloff, J.; Srinivasan, B. The Hadamard factorization of Hurwitz and Schur stable polynomials. (English) Zbl 0876.26014 Jeltsch, R. (ed.) et al., Stability theory. Hurwitz centenary conference, Ascona, Switzerland, May 21-26, 1995. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 121, 19-21 (1996). MSC: 26C05 12D05 PDF BibTeX XML Cite \textit{J. Garloff} and \textit{B. Srinivasan}, ISNM, Int. Ser. Numer. Math. 121, 19--21 (1996; Zbl 0876.26014)
Hinrichsen, D.; Kharitonov, V. L. Stability of polynomials with conic uncertainty. (English) Zbl 0856.93077 Math. Control Signals Syst. 8, No. 2, 97-117 (1995). Reviewer: A.S.Hauksdottir (Reykjavik) MSC: 93D09 93C05 93C80 PDF BibTeX XML Cite \textit{D. Hinrichsen} and \textit{V. L. Kharitonov}, Math. Control Signals Syst. 8, No. 2, 97--117 (1995; Zbl 0856.93077) Full Text: DOI
Kogan, Jacob How near is a stable polynomial to an unstable polynomial? (English) Zbl 0772.30007 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 39, No. 8, 676-680 (1992). Reviewer: W.Plesniak (Kraków) MSC: 30C15 30C80 30D15 30C10 PDF BibTeX XML Cite \textit{J. Kogan}, IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 39, No. 8, 676--680 (1992; Zbl 0772.30007) Full Text: DOI
Liao, Xiaoxin Advances in robust stability for interval dynamical systems. (Chinese. English summary) Zbl 0757.93066 Adv. Math., Beijing 21, No. 2, 168-184 (1992). MSC: 93D09 PDF BibTeX XML Cite \textit{X. Liao}, Adv. Math., Beijing 21, No. 2, 168--184 (1992; Zbl 0757.93066)
Fettweis, Alfred; Basu, Sankar New results on stable multidimensional polynomials. I: Continuous case. (English) Zbl 0646.94017 IEEE Trans. Circuits Syst. 34, 1221-1232 (1987). Reviewer: David P. Brown (Carbondale) MSC: 94C05 93B25 93D05 PDF BibTeX XML Cite \textit{A. Fettweis} and \textit{S. Basu}, IEEE Trans. Circuits Syst. 34, 1221--1232 (1987; Zbl 0646.94017) Full Text: DOI
Bialas, S. On certain properties of Hurwitz determinants for interval polynomials. (English) Zbl 0498.65025 Computing 30, 149-155 (1983). MSC: 65G30 65F40 PDF BibTeX XML Cite \textit{S. Bialas}, Computing 30, 149--155 (1983; Zbl 0498.65025) Full Text: DOI
Delsarte, Ph.; Genin, Y.; Kamp, Y. A proof of the Daniel-Moore conjectures for A-stable multistep two- derivative integration formulas. (English) Zbl 0472.65067 Philips J. Res. 36, 77-86 (1981). MSC: 65L05 65L20 PDF BibTeX XML Cite \textit{Ph. Delsarte} et al., Philips J. Res. 36, 77--86 (1981; Zbl 0472.65067)
Bickart, T. A.; Jury, E. I. Polynomial root clustering. (English) Zbl 0424.30006 J. Franklin Inst. 308, 487-496 (1979). MSC: 30C15 30C10 PDF BibTeX XML Cite \textit{T. A. Bickart} and \textit{E. I. Jury}, J. Franklin Inst. 308, 487--496 (1979; Zbl 0424.30006) Full Text: DOI