Title :
A supplement to “The roles of Sylvester and Bezoutian matrices in the historical study of stability of linear discrete-time systems”
Author_Institution :
Dept. of Electr. & Comput. Eng., Miami Univ., Coral Gables, FL, USA
fDate :
10/1/1999 12:00:00 AM
Abstract :
In this supplement, we present the stability criterion of Nour-Eldin, based on the Cauchy index and Hankel matrix arguments, and its reduced form, based on reduced Schur-Cohn-Fujiwara criterion. This simplification of the Nour-Eldin criterion is further elaborated by Anderson and Mansour [1991]. A related result, based on reduced Markov stability criterion, was obtained by Mansour and Anderson [1990]
Keywords :
Hankel matrices; discrete time systems; linear systems; stability criteria; Bezoutian matrices; Cauchy index; Hankel matrix arguments; Nour-Eldin stability criterion; Sylvester matrices; linear discrete-time systems; reduced Markov stability criterion; reduced Schur-Cohn-Fujiwara criterion; stability; Automatic control; Control engineering; Equations; Filtering; Matrix decomposition; Optimal control; Polynomials; Signal processing algorithms; Stability; Wiener filter;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
