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