On the Stability of Two-Dimensional Continuous Systems

IEEE Transactions on Circuits and Systems

Volumn 35, Issue 12, 1988, Pages 1487-1500

  Jury, E I ^a   Bauer, P ^a  

^a UNIVERSITY OF MIAMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FILTERS, DIGITAL; MATHEMATICAL TECHNIQUES--TRANSFER FUNCTIONS; MATHEMATICAL TRANSFORMATIONS--LAPLACE TRANSFORMS; SIGNAL FILTERING AND PREDICTION;

BIBO STABILITY; DOUBLE BILINEAR TRANSFORMATION; MULTIDIMENSIONAL SYSTEMS; REACTANCE TRANSFORMATION;

SYSTEM STABILITY;

EID: 0024121879     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.9912     Document Type: Article

References (11)

1. E. I. Jury, “Stability of multidimensional systems and related problems,” in Multidimensional Systems: Techniques and Applications, Ed.: S. G. Tzafestas. New York: Marcel Dekkar, 1985, chap. 3.
2. H. C. Reddy and E. I. Jury, “Stability of 2-D recursive digital filters in the presence of nonessential singularities of the second kind,” IEEE Trans. Circuits Syst., vol. CAS-33, pp. 280-284, 1987.
3. A. Fettweis, “Multidimensional circuit and system theory,” presented at the Int. Symp. Circuits and Systems, Montreal, Canada, 1984.
4. D. M. Goodman, “Some difficulties with the double bilinear transformation in 2-D recursive filter design,” Proc. IEEE, vol. 66, pp. 796-797, July 1978.
5. C. Desoer and M. Vidyasager, Feedback Systems: Input-Output Properties. New York: Academic, 1975.
6. D. Voelker and G. Doetsch, Die Zweidimensionale Laplace Transformation. Basel. Germany: Verlag Birkhauser, 1950.
7. S. Bochner and K. Chandrasckharan, Fourier Transforms. Princeton. NJ: Princeton Univ. Press, 1949.
8. J. W. Goodman, Introduction to Fourier Optics. New York: Mc-Graw Hill, 1968.
9. C. E. Pearson, Handbook of Applied Mathematics. New York: Van Nostrand Reinhold, 2nd edition, 1983.
10. G. N. Watson. A Treatise on the Theory of Bessel Functions. NewYork: Macmillan, 2nd edition, 1944.
11. V. A. Ditkin and A. P. Prudnikov, Operational Calculus in Two Variables and its Applications. New York: Pergamon, 1962.