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Algorithm 640: Efficient calculation of frequency response matrices from state space models

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 12 , Issue 1 (March 1986) table of contents
The MIT Press scientific computation series

Pages: 26 - 33

Year of Publication: 1986

ISSN:0098-3500

Author

Alan J. Laub

Univ. of California, Santa Barbara

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 35, Citation Count: 1

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appendices and supplements references cited by index terms collaborative colleagues

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APPENDICES and SUPPLEMENTS

SFRMG (640.gz) (12 KB)

complex frequency response matrix C*E*B, where E is the inverse of (FREQ*I - A) and FREQ is a complex scalar taking values along the , imaginary axis for continuous-time systems and on the unit circle for discrete-time systems
Gams: G3,L10c

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	DONGARRA, J., BUNCH, J. R., MOLER, C. B., AND STEWART, G.W. LINPACK Users' Guide. SIAM, Philadelphia, Penn., 1979.
	2	DOYLE, J. C., AND STEIN, G. Multivariable feedback design: Concepts for a classical/modern synthesis, IEEE Trans. Aut. Contr., AC-26 (1981), 4-16.
	3	LAUB, A.J. Efficient multivariable frequency response computations. IEEE Trans. Aut. Contr., AC-26 (1981), 407-408.
	4	C. L. Lawson , R. J. Hanson , D. R. Kincaid , F. T. Krogh, Basic Linear Algebra Subprograms for Fortran Usage, ACM Transactions on Mathematical Software (TOMS), v.5 n.3, p.308-323, Sept. 1979 [doi>10.1145/355841.355847]
	5	SAFONOV, M. G., LAUB, A. J. AND HARTMANN, G. L. Feedback properties of multivariable systems: The role and use of the return difference matrix. IEEE Trans. Aut. Contr.,AC-26 (1981), 47-65.
	6	SMITH, B. T., BOYLE, J. M., DONGARRA, J. J., GARBOW, B. S., IKEBE, Y., KLEMA, V. C., AND MOLER, C.B. Matrix eigensystem routines--EISPACK guide. Second Ed. Lect. Notes in Comp. Sci., Vol. 6, Springer-Verlag, New York, 1976.