DocumentCode :
811439
Title :
A simplified Schur-Cohn test
Author :
Anderson, B.D.O. ; Jury, E.I.
Author_Institution :
University of Newcastle, Newcastle, NSW, Australia
Volume :
18
Issue :
2
fYear :
1973
fDate :
4/1/1973 12:00:00 AM
Firstpage :
157
Lastpage :
163
Abstract :
A new test is given for deciding whether a prescribed real polynomial of degree n has all its zeros inside the unit circle. The test involves examination of the sign of various linear combinations of the polynomial coefficients, as well as examination to check positive definiteness of a symmetric matrix of dimensions frac{1}{2}n \\times frac{1}{2}n when n is even, and frac{1}{2}(n + 1) \\times frac{1}{2}(n + 1) or frac{1}{2}(n - 1) \\times frac{1}{2}(n - 1) when n is odd.
Keywords :
Linear systems, time-invariant discrete-time; Polynomials; Stability; Australia; Computer science; Polynomials; Stability; Symmetric matrices; Testing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1973.1100253
Filename :
1100253
Link To Document :
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