Title :
Wide sense stability of discrete- and continuous-time linear systems in the complex case
Author :
Benidir, M. ; Picinbono, B.
Author_Institution :
Lab. des Signaux et Syst., ESE, Gif-sur-Yvette, France
fDate :
11/1/1989 12:00:00 AM
Abstract :
Canonical reflection coefficients are used to determine the number of roots appearing on the unit circle and their multiplicities for a stable polynomial (with no zero outside the unit circle). A criterion so that a stable polynomial has no multiple zeros on the unit circle is then deduced and transposed to the continuous-time linear systems in the complex case
Keywords :
discrete time systems; linear systems; polynomials; stability; canonical reflection coefficients; complex case; continuous-time linear systems; discrete time linear systems; stable polynomial; unit circle; wide sense stability; Acoustics; Computer aided software engineering; Discrete transforms; Linear systems; Polynomials; Reflection; Signal processing algorithms; Spectral analysis; Stability criteria; Testing;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
