National Instruments NI MATRIXx Xmath User Manual

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Appendix A

Bibliography

A-3

[SaC88]

M. G. Safonov and R. Y. Chiang, “Model reduction for robust control: a Schur
relative-error method,” Proceedings for the American Controls Conference, 1988,
pp. 1685–1690.

[Saf87]

M. G. Safonov, “Imaginary-axis zeros in multivariable H• optimal control,” Modeling,
Robustness, and Sensitivity Reduction in Control, (Ed. R. F. Curtain), Springer Verlag,
Berlin, 1987.

[SCL90]

M. G. Safonov, R. Y. Chiang, and DJN Limebeer, “Optimal Hankel model reduction
for nonminimal systems,” IEEE Transactions on Automatic Control, Vol. 35 No. 4,
pp. 496–502, 1990.

[Vid85]

M. Vidyasagar, Control Systems Synthesis: A Factorization Approach, MIT Press,
Cambridge, MA, 1985.

[WaS90]

W. Wang and M. G. Safonov, “A tighter relative error bound for balanced stochastic
truncation,” Systems and Control Letters, Vol. 14, 1990, pp. 307–317.

[WaS90a]

W. Wang and M. G. Safonov, “Comparison between continuous and discrete-time model
truncation,” Proceedings for the 29th CDC, 1990.

[BBK88]

S. Boyd, V. Balakrishnan, and P. Kabamba, “A bisection method for computing the
L

∞ norm of a transfer matrix and related problems,” Mathematical Controls, Signals,

and Systems, Vol. 2, No. 3, pp. 207–219, 1989.

[BeP79]

A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences.
Computer Science and Applied Mathematics series, Academic Press, 1979.

[BoB90]

S. Boyd and V. Balakrishnan. “A regularity result for the singular values of a transfer
matrix and a quadratically convergent algorithm for computing its L

∞ norm.” Systems

Control Letters Vol. 15, pp. 1–7, 1990.

[BoB91]

S. Boyd and C. Barratt, Linear Controller Design: Limits of Performance, Prentice-Hall,
1991.

[BH69]

A. E. Bryson and Y. C. Ho, Applied Optimal Control, p. 149, Blaisdell Publishing Co.,
1969.

[DoS79]

J. C. Doyle and G. Stein. “Robustness with Observers,” IEEE Transactions on Automatic
Control, August 1979.

[DoS81]

J. C. Doyle and G. Stein. “Multivariable Feedback Design: Concepts for a
Classical/Modern Synthesis.” IEEE Transactions on Automatic Control, Vol. AC-26,
February 1981, pp 4–16.