| Pour citer ce document : |
|
URI:
|
http://hdl.handle.net/2042/1662
|
|
Title:
|
4 - Caractérisation des polynômes de Hurwitz et de Schur complexes |
|
Author:
|
BENIDIR (M.)
|
|
Abstract:
|
Un algorithme de calcul pour tester les polynômes à coefficients réels ou complexes admettant toutes leurs racines dans un demi-plan est établi. Une démonstration complète du critère de Routh pour tester la stabilité des filtres linéaires est proposée |
|
Description:
|
Polynomials having only roots with négative real parts and those having only roots inside the unit circle can be characterized in
many ways. The criterias introducing a pair of other polynomials with roots alternating on the imaginary axis or on the unit
circle are extended to the complex case . An algorithm is established for testing polynomials with real or complex coefficients
having all of their roots in a given half-plane, or in a sector defined by two straight fines passing through the origin . A complete
proof of the Routh's criterion for testing the continuous-time linear system stability is proposed in both the real and complex
cases. |
|
Subject:
|
Filtrage; Filtre linéaire; Critère; Stabilité; Polynôme Hurwitz; Algorithme; Essai; Critère Routh |
|
Publisher:
|
GRETSI, Saint Martin d'Hères, France |
|
Date:
|
1988 |
I-Revues
Contact
PDF
