Singular root distribution problem for delta-operator based real polynomials

Automatica

Volumn 35, Issue 5, 1999, Pages 791-807

  Fan, H ^a  

^a University of Cincinnati   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; POLES AND ZEROS; POLYNOMIALS; SAMPLING;

DELTA OPERATORS; SINGULAR ROOT DISTRIBUTION; SINGULARITIES;

SYSTEM STABILITY;

EID: 0033131658     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(98)00218-0     Document Type: Article

References (9)

1. Delsarte, P., Genin, Y. V., & Kamp, Y. G. (1985). Pseudolossless functions with application to the problem of locating the zeros of a polynomial. IEEE Trans. Circuits & Systems, 32(4), 373-381.
2. Fan, H. (1997a). Efficient zero location tests for delta-operator based polynomials. IEEE Trans. Automat. Control, 42(5), 722-727.
3. Fan, H. (1997b). A normalized Schur-Cohn stability test for the delta operator based polynomials. IEEE Trans. Automat. Control, 42(11), 1606-1612.
4. Goodwm, G. C., Middleton, R. H., & Poor, H. V. (1992). High-speed digital signal processing and control. Proc. IEEE, 80(2), 240-259.
5. Jury, E. I. (1982). Inners and Stability of Dynamic Systems (2nd Ed). Malabar, FL: Robert E. Krieger Publishing Co.
6. Pal, D., & Kailath, T. (1992). Displacement structure approach to singular root distribution problems: The imaginary axis case. IEEE Trans. Circuits Systems I, 41(2), 138-148.
7. Pal, D., & Kailath, T. (1994). Displacement structure approach to singular root distribution problems: The unit circle case. IEEE Trans. Automat. Control, 39(1), 238-245.
8. Stoica, P., & Moses, R. L. (1992). On the unit circle problem: The Schur-Cohn procedure revisited, Signal Processing, 26(1), 95-118.
9. Vijayan, R., Poor, H. V., Moore, J. B., & Goodwin, G. C. (1991). A Levinson-type algorithm for modeling fast-sampled data. IEEE Trans. Automat. Control, AC-36(3), 314-321.