DocumentCode
1006940
Title
On the Ptak-Young generalization of the Schur-Cohn theorem
Author
Ackner, Reuven ; Kailath, Thomas
Author_Institution
Inf. Syst. Lab., Stanford Univ., CA, USA
Volume
37
Issue
10
fYear
1992
fDate
10/1/1992 12:00:00 AM
Firstpage
1601
Lastpage
1604
Abstract
A new proof of the Ptak-Young generalization of the Schur-Cohn theorem is given, showing that the inertia of a certain generalized Bezoutian matrix determines the root distribution of a polynomial with respect to the unit disk. It is shown that the Ptak-Young theorem can also be formulated in terms of a Pick matrix. It is noted that the generalized Bezoutian is a structured matrix having a so-called generalized displacement structure
Keywords
matrix algebra; polynomials; Pick matrix; Ptak-Young generalization; Schur-Cohn theorem; generalized Bezoutian matrix; generalized displacement structure; matrix algebra; polynomial; root distribution; structured matrix; Adaptive control; Automatic control; Conferences; Control systems; Motion control; Orbital robotics; Programmable control; Robot control; Robotics and automation; Sliding mode control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.256392
Filename
256392
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