| Title:
|
Some remarks on the $\Omega $-stability for families of polynomials (English) |
| Author:
|
Mawhin, Jean |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
139-145 |
| . |
| Category:
|
math |
| . |
| MSC:
|
12D10 |
| MSC:
|
30C15 |
| MSC:
|
34D99 |
| MSC:
|
93D20 |
| idZBL:
|
Zbl 0913.93063 |
| idMR:
|
MR1464308 |
| . |
| Date available:
|
2008-06-06T21:32:55Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107604 |
| . |
| Reference:
|
[1] 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. MR 1041090 |
| Reference:
|
[2] Coppel W.A.: Stability and Asymptotic Behavior of Differential Equations.Heath, Boston, 1965. Zbl 0154.09301, MR 0190463 |
| Reference:
|
[3] 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. MR 0638124 |
| Reference:
|
[4] Lloyd N.G.: Degree Theory.Cambridge University Press, Cambridge, 1978. Zbl 0367.47001, MR 0493564 |
| Reference:
|
[5] Marden M.: Geometry of Polynomials.American Math. Soc. Providence, RI, 1966. Zbl 0162.37101, MR 0225972 |
| Reference:
|
[6] 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. MR 2714552 |
| Reference:
|
[7] Schur I.: Über Potenzreihen, die im Innern des Einheitskreises beschrankt sind.J. Reine Angew. Math. 148 (1918), 122-145. |
| Reference:
|
[8] Schur I.: Über algebraische Gleichungen, die nur Wurzeln mit negativen Realteilen besitzen.Z. Angew. Math. Mech. 1 (1921), 307-311. |
| Reference:
|
[9] 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. Zbl 0856.34061, MR 1408281 |
| . |
