Title :
A further simplification to Jury´s stability test
Author :
Jonckheere, Edmund ; Ma, Chingwo
Author_Institution :
Dept. of Electr. Eng.-Syst., California Univ., Los Angeles, CA, USA
fDate :
3/1/1989 12:00:00 AM
Abstract :
Consideration is given to R.H. Raible´s table (1974), which is a simplified version of E.I. Jury´s discrete stability test. It is explicitly shown that Raible´s table is none other than the classical Schur algorithm performed on a certain scattering function. This directly leads to an interpretation of Raible´s table as a continued fraction expansion. The connection between Raible´s table and the fast triangular factorization of the Schur-Cohn matrix is given.<>
Keywords :
matrix algebra; stability; Jury´s stability test; Raible´s table; Schur algorithm; Schur-Cohn matrix; continued fraction expansion; discrete stability; fast triangular factorization; scattering function; Circuit stability; Circuit testing; Circuits and systems; Equations; Lyapunov method; Scattering; Stability analysis; Switched capacitor networks;
Journal_Title :
Circuits and Systems, IEEE Transactions on