Some remarks on the $\Omega $-stability for families of polynomials
Mawhin, Jean
Archivum Mathematicum, Tome 033 (1997), p. 139-145 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
Classification:  12D10,  30C15,  34D99,  93D20 
@article{107604,
     author = {Jean Mawhin},
     title = {Some remarks on the $\Omega $-stability for families of polynomials},
     journal = {Archivum Mathematicum},
     volume = {033},
     year = {1997},
     pages = {139-145},
     zbl = {0913.93063},
     mrnumber = {1464308},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107604}
}

Mawhin, Jean. Some remarks on the $\Omega $-stability for families of polynomials. Archivum Mathematicum, Tome 033 (1997) pp. 139-145. http://gdmltest.u-ga.fr/item/107604/

Anagnost J.J.; Desoer C.A.; And Minnichelli R.J. Generalized Nyquist tests for robust stability: Frequency domain generalizations of Kharitonov’s theorem, in Robustness in Identification and Control, Milanese, Tempo and Vicino ed., Plenum Press, New York, 1989, 79-96. (1989) | MR 1041090

Coppel W.A. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965. (1965) | MR 0190463 | Zbl 0154.09301

Krein M.G.; And Naimark M.A. The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations, Linear and Multilinear Algebra 10 (1981), 265-308. (1981) | MR 0638124

Lloyd N.G. Degree Theory, Cambridge University Press, Cambridge, 1978. (1978) | MR 0493564 | Zbl 0367.47001

Marden M. Geometry of Polynomials, American Math. Soc. Providence, RI, 1966. (1966) | MR 0225972 | Zbl 0162.37101

Rantzer A. Parametric Uncertainty and Feedback Complexity in Linear Control Systems, PhD. Thesis Kungl Tekniska Högskolan, ISRN KHT/OPT SYST/DA-91/13-SE, 1991. (1991) | MR 2714552

Schur I. Über Potenzreihen, die im Innern des Einheitskreises beschrankt sind, J. Reine Angew. Math. 148 (1918), 122-145. (1918)

Schur I. Über algebraische Gleichungen, die nur Wurzeln mit negativen Realteilen besitzen, Z. Angew. Math. Mech. 1 (1921), 307-311. (1921)

Zahreddine Z. On the $\Gamma $-stability of systems of differential equations in the Routh-Hurwitz and the Schur-Cohn cases, Bull. Belgian Math. Soc.-Simon Stevin 3 (1996), 363-368. (1996) | MR 1408281 | Zbl 0856.34061