On the Cross-Gramian for Symmetric MIMO Systems

IEEE Transactions on Circuits and Systems

Volumn 32, Issue 5, 1985, Pages 487-489

  Fernando, K V ^a   Nicholson, H ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - MATRIX ALGEBRA;

CROSS-GRAMIAN MATRIX; SYMMETRIC MIMO SYSTEMS;

CONTROL SYSTEMS, MULTIVARIABLE;

EID: 0022061131     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1985.1085737     Document Type: Article

References (5)

1. A. J. Laub, L. M. Silverman, and M. Verma, “A note on cross-Grammians for symmetric realizations,” Proc. IEEE, vol. 71, pp. 904–905, July 1983.
2. K. V. Fernando and H. Nicholson, “On the fundamental property of the cross-Gramian W co,” IEEE Trans. Circuits Syst., to be published.
3. K. V. Fernando and H. Nicholson, “Minimality of SISO linear systems,” Proc. IEEE, vol. 70, pp. 1241–1242, Oct. 1982.
4. P. Lancaster, “Explicit solutions of linear matrix equations,” SIAM Rev., vol. 12, no. 4, pp. 544–566, Oct. 1970.
5. R. H. Bartels and G. W. Stewart, “A solution of the equation Ax + xB = C,” Commun. ACM, vol. 15, pp. 820–826, 1972.