Combinatorial Rules for Some Useful Transformations

IEEE Transactions on Circuit Theory

Volumn 20, Issue 5, 1973, Pages 476-480

  Jury, Eliahu I ^a   Chan, O W C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - MATRIX ALGEBRA; SYSTEM STABILITY;

MATHEMATICAL TRANSFORMATIONS;

EID: 0015660851     PISSN: 00189324     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCT.1973.1083716     Document Type: Article

References (11)

1. E. I. Jury, Theory and Application of the z-Transform Method. New York: Wiley, 1964, ch. 3.
2. C. J. Greaves, G. A. Gagne, and G. W. Bordner, “Evaluation of integrals appearing in minimization problems of discrete-data systems,” IEEE Trans. Automat. Contr. (Corresp.), vol. AC-11, pp. 145–148, Jan. 1966.
3. R. M. Golden, “Digital filter synthesis by sample-data transformation,” IEEE Trans. Audio Electroacoust., vol. AU-16, pp. 321–329, Sept. 1968.
4. M. Mansour, “Über die Stabilitat lineares Abtastsystemes,” Ragelungstech., vol. 12, pp. 529–534, 1964.
5. H. M. Power, “The mechanics of the bilinear transformation,” IEEE Trans. Educ. (Short Papers), vol. E-10, pp. 114–116, June 1967.
6. D. C. Fielder, “Some classroom comments on bilinear transformations,” IEEE Trans. Educ. (Short Papers and Classroom Notes), vol. E-13, pp. 105–107, Aug. 1970.
7. R. J. Duffin, “Algorithms for classical stability problems,” SIAM Rev., vol 11, pp. 196–213, Apr. 1969.
8. E. I. Jury, “Remarks on ‘The mechanics of bilinear transformation,’” IEEE Trans. Audio Electroacoust. (Corresp.), vol. AU-21, pp. 380–382, Aug. 1973.
9. E. Szaraniec, “Stability and aperiodicity tests for linear discrete systems,” to be published in IFAC J. Automat., 1973.
10. E. I. Jury and J. Tchauner, “On the inners formulation of stability condition within the shifted unit circle,” Regelungstechnik, vol. 7, pp. 299–300, Jan. 1971.
11. A. M. Bush and D. C. Fielder, “Simplified algebra for the bilinear and related transformations,” IEEE Trans. Audio Electroacoust. (Corresp.), vol. AU-21, pp. 127–128, Apr. 1973.