TY - JOUR
T1 - A circular stability test for general polynomials
AU - Bistritz, Yuval
N1 - Funding Information:
* This work was supported in part by the U.S. Army Research Office, under Contract DAAG29-83-K-0028 Weixmann postdoctoral fellowship award.
PY - 1986/4
Y1 - 1986/4
N2 - We extend a new stability test proposed recently for discrete system polynomials [1] to polynomials with complex coefficients. The method is based on a three-term recursion of a conjugate symmetric sequence of polynomials. The complex version has the same relative improved efficiency as the real version in comparison to the classical Schur-Cohn formulation for counting the number of zeros of a polynomial with respect to the unit circle. Furthermore, if desirable, the complex text can be carried out using only real polynomials and arithmetic.
AB - We extend a new stability test proposed recently for discrete system polynomials [1] to polynomials with complex coefficients. The method is based on a three-term recursion of a conjugate symmetric sequence of polynomials. The complex version has the same relative improved efficiency as the real version in comparison to the classical Schur-Cohn formulation for counting the number of zeros of a polynomial with respect to the unit circle. Furthermore, if desirable, the complex text can be carried out using only real polynomials and arithmetic.
KW - Complex symmetric polynomials
KW - Stability criterion for discrete-time systems
KW - Three-term polynomial recursions
KW - Zeros location in the unit circle
UR - http://www.scopus.com/inward/record.url?scp=0022693149&partnerID=8YFLogxK
U2 - 10.1016/0167-6911(86)90013-7
DO - 10.1016/0167-6911(86)90013-7
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AN - SCOPUS:0022693149
SN - 0167-6911
VL - 7
SP - 89
EP - 97
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 2
ER -