An Algorithm for the Calculation of Transmission Zeros of the System (C, A, B, D) Using High Gain Output Feedback

IEEE Transactions on Automatic Control

Volumn 23, Issue 4, 1978, Pages 738-741

  Davison, E J ^a   Wang, S H ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141672575     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1978.1101808     Document Type: Article

References (10)

1. E. J. Davison and S. H. Wang “Properties and calculation of transmission zeros of linear multivariable systems,” Automatica, vol. 10, pp. 643–658, 1974.
2. E. J. Davison and S. H. Wang “Remarks on multiple transmission zeros of linear multivariable systems,” Automatica, vol. 12, p. 195, Mar. 1976.
3. G. Axelby, A. Laub, and E. J. Davison, “Further discussion on the calculation of transmission zeros,” Automatica, to be published.
4. B. Kouvaritakis and A. G. J. MacFarlane “Geometric approach to analysis and synthesis of system zeros,” Int. J. Contr., vol. 23, no. 2, pp. 149–181, 1976.
5. K. C. Kalnitsky and H. G. Kwatny, “An eigenvalue characterization and computational algorithm for multivariable system zeros,” in Proc. IEEE Contr. and Decision Conf., Dec. 1976, pp. 369–373.
6. E. J. Davison and S. H. Wang “Properties of linear time-invariant multivariable systems subject to arbitrary output and state feedback,” IEEE Trans. Automat. Contr., vol. AC-18, pp. 24–32, 1973.
7. S. H. Wang and E. J. Davison “Canonical forms of linear multivariable systems,” SIAM J. Contr. Optimiz., vol. 14, pp. 236–250, Feb. 1976.
8. B. N. Parlett and C. Reinsch, “Balancing a matrix for calculation of eigenvalues and eigenvectors,” in Linear Algebra, J. H. Wilkinson and C. Reinsch, Eds. New York: Springer-Verlag, 1971.
9. A. Laub and B. C. Moore, “Calculation of transmission zeros using QZ techniques,” Dep. Elec. Eng., Univ. Toronto, Syst. Contr. Rep. 7618, Dec. 1976.
10. G. W. Stewart, Introduction to Matrix Computations. New York: Academic, 1973, p. 317.