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National Instruments NI MATRIXx Xmath User Manual

Page 122

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Appendix A

Bibliography

Xmath Model Reduction Module

A-4

ni.com

[Doy82]

J. C. Doyle. “Analysis of Feedback Systems with Structured Uncertainties.” IEEE
Proceedings
, November 1982.

[DWS82]

J. C. Doyle, J. E. Wall, and G. Stein. “Performance and Robustness Analysis for Structure
Uncertainties,” Proceedings IEEE Conference on Decision and Control, pp. 629–636,
1982.

[FaT88]

M. K. Fan and A. L. Tits, “m-form Numerical Range and the Computation of the
Structured Singular Value.” IEEE Transactions on Automatic Control, Vol. 33,
pp. 284–289, March 1988.

[FaT86]

M. K. Fan and A. L. Tits. “Characterization and Efficient Computation of the Structured
Singular Value,” IEEE Transactions on Automatic Control, Vol. AC-31, pp. 734–743,
August 1986.

[Fr87]

B. Francis, A Course in L

Control Theory, Springer-Verlag, Berlin-New York, 1987.

[FPGM87]

D. S. Flamm, S. Boyd, G. Stein, and S. K. Mitter, “Tutorial Workshop on L

∞ Control

Theory,” pre-conference workshop, Proceedings 26th IEEE Conference on Decision and
Control
, December 1988.

[GD88]

K. Glover and J. C. Doyle, “State-space formulae for all stabilizing controllers that
satisfy an L

∞ norm bound and relations to risk sensitivity,” Systems and Control Letters,

Vol. 11, pp. 167–172, 1988.

[DGKF89]

J. C. Doyle, K. Glover, P. K. Khargonekar, and B. Francis, “State-space solutions to
standard H

2

and L

∞ control problems,” IEEE Transactions on Automatic Control,

Vol. AC-34, No. 8, pp. 831–847, August 1989.

[Gu80]

N. K. Gupta, “Frequency Shaping of Cost Functionals: An extension of LQG Design
Methods,” AIAA Journal of Guidance and Control, Vol. 3, No. 6, December 1980.

[ONR84]

ONR/Honeywell Workshop on Advances in Multivariable Control, Lecture Notes,
Minneapolis, MN, 1984.

[Osb60]

E. E. Osborne, “On Preconditioning of Matrices,” JACM, 7:338–345, 1960.

[Saf82]

M.G. Safonov, “Stability Margins of Diagonally Perturbed Multivariable Feedback
Systems,” IEEE Proceedings, 129-D:251–256, November 1982.

[SD83]

M. G. Safonov and J. C. Doyle. “Optimal Scaling for Multivariable Stability Margin
Singular Value Computation,” Proceedings of MECO/EES 1983, Symposium, 1983.

[SD84]

M. G. Safonov and J. C. Doyle, “Minimizing Conservativeness of Robust Singular
Values,” Multivariable Control, pp. 197–207, S. G. Tzafestas, ed. D. Reidel Publishing
Company, 1984.