© National Instruments Corporation A-1 Xmath Model Reduction Module
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Bibliography

[AnJ] BDO Anderson and B. James, “Algorithm for multiplicative approximation of a stable
linear system,” in preparation.
[AnL89] BDO Anderson and Y. Liu, “Controller reduction: Concepts and approaches,” IEEE
Transactions on Automatic Control, Vol. 34, 1989, pp. 802–812.
[AnM89] BDO Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods,
Prentice-Hall Inc., Englewood Cliffs, NJ, 1989.
[BoD87] S. P. Boyd and J. Doyle, “Comparison of peak and RMS gains for discrete-time systems,”
System Control Letters, Vol. 9, No. 1, pp. 1–6, 1987.
[Enn84] D. F. Enns, “Model reduction with balanced realizations: an error bound and a frequency
weighted generalization,” Proceedings for the 23rd IEEE Conference on Decision and
Control, Las Vegas, November 1984, pp. 127–132.
[Enn84a] D.F. Enns, “Model reduction for control systems design,” PhD Thesis, Dept of
Aeronautics and Astronautics, Stanford University, CA, USA, 1984.
[GCP88] K. Glover, R. F. Curtain, and J. R. Partington, “Realisation and approximation o f linear
infinite-dimensional systems with error bounds,” SIAM J Controls and Optimization,
Vol. 26, 1988, pp. 863–898.
[Glo84] K. Glover, “All optimal Hankel norm approximations of linear multivariable systems and
their L∞ error bounds,” Int J Controls, Vol. 39, 1984, pp. 1115–1193.
[Glo86] K. Glover, “Multiplicative approximation of linear multivariable systems with L∞error
bounds,” Proceedings for American Controls Conference, Seattle, 1986, pp. 1705–1709.
[GrA86] M. Green and BDO Anderson, “The approximation of power spectra by phase matching,”
Proceedings for 25th CDC, 1986, pp. 1085–1090.
[GrA89] M. Green and BDO Anderson, “Model reduction by phase matching,” Mathematics of
Control, Signals, and Systems, Vol. 2, 1989, pp. 221–263.