Appendix A Bibliography
© National Instruments Corporation A-3 Xmath Model Reduction Module
[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 
fornonminimal 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.