Title :
A generalization of the zero location theorem of Schur and Cohn
Author :
Ptak, Vlastimil ; Young, N.J.
Author_Institution :
Matematicky Ustav CSAV, Zitna,Praha, Czechoslovakia
fDate :
10/1/1980 12:00:00 AM
Abstract :
The well-known Schur-Cohn test for the number of zeros of a polynomial inside the unit circle is deduced from a simple matrix identity. The present proof is not only shorter than earlier ones, but also more general: it produces an infinity of Hermitian forms which can be used in the same way as Schur´s form.
Keywords :
Polynomials; Eigenvalues and eigenfunctions; Linear systems; Reduced order systems; Vehicle dynamics; Virtual manufacturing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102476