论文信息 - Application of polynomial array method to discrete-time system stability

Application of polynomial array method to discrete-time system stability

The method of polynomial arrays may be effectively utilised in determining stability of polynomials containing literal coefficients. In the paper, the application of the polynomial array method to discrete-time systems is further investigated. Using tabular forms introduced by Bistritz and by Premaratne and Jury, both shift-operator and delta-operator formulated discrete-time systems are addressed. Critical stability constraints for such systems are obtained directly from these tabular forms. An important application of the proposed method is in digitising analogue systems with guaranteed stability.

E. Jury | K. Premaratne

[1] E. I. Jury,et al. A modified stability table for linear discrete systems , 1965 .

[2] V. V. Krishnan,et al. Inners and Stability of Dynamic Systems , 1975, IEEE Transactions on Systems, Man, and Cybernetics.

[3] Y. Bistritz. Zero location with respect to the unit circle of discrete-time linear system polynomials , 1984 .

[4] Graham C. Goodwin,et al. Digital control and estimation : a unified approach , 1990 .

[5] E. Jury. A note on the modified stability table for linear discrete time systems , 1991 .

[6] Thomas Kailath,et al. Generalized Bezoutians and families of efficient zero-location procedures , 1991 .

[7] G. Goodwin,et al. High-speed digital signal processing and control , 1992, Proc. IEEE.

[8] Kamal Premaratne,et al. On the Bistritz tabular form and its relationship with the Schur-Cohn minors and inner determinants , 1993 .

[9] E. I. Jury,et al. On two-dimensional filter stability test , 1994 .

[10] Kamal Premaratne,et al. Tabular method for determining root distribution of delta-operator formulated real polynomials , 1994, IEEE Trans. Autom. Control..