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
fDate :
10/1/1992 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
