Computational study and comparisons of LFT reducibility methods

Proceedings of the American Control Conference

Volumn 2, Issue , 1998, Pages 1013-1017

  Beck, Carolyn ^a   D'Andrea, Raffaello ^b  

^a University of Pittsburgh   (United States)

^b Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CO-ORDINATE TRANSFORMATION; COMPUTATIONAL STUDIES; COMPUTATIONAL TOOLS; LINEAR FRACTIONAL TRANSFORMATIONS; LINEAR MATRIX INEQUALITY METHOD; MINIMAL REALIZATIONS; MULTIDIMENSIONAL SYSTEMS; STRUCTURED UNCERTAINTIES;

LINEAR MATRIX INEQUALITIES;

ALGORITHMS;

EID: 84881339256     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.703562     Document Type: Conference Paper

References (13)

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2. C. L. Beck and J. C. Doyle, "A necessary and sufficient minimality condition for uncertain systems," IEEE Transactions on Automatic Control, 1996. Accepted.
3. C. L. Beck, Model Reduction and Minimality for Uncertain Systems. PhD thesis, California Institute of Technology, Jan. 1996.
4. R. D'Andrea and S. Khatri, "Kalman decomposition of linear fractional transformation representations and minimality," in Proc. American Control Conference, 1997.
5. C. L. Beck, J. Doyle, and K. Glover, "Model reduction of multi-dimensional and uncertain systems," IEEE Transactions on Automatic Control, vol. 41, no. 10, 1996.
6. A. Packard, "Gain scheduling via linear fraction transformations," Systems and Control Letters, 1994.
7. P. M. Young, Robustness with Parametric and Dynamic Uncertainty. PhD thesis, California Institute of Technology, 1993.
8. G. Dullerud and S. Lall, "A new approach for analysis and synthesis of time-varying systems," IEEE Transactions on Automatic Control, 1997. Accepted.
9. N. K. Bose, Applied Multidimensional Systems Theory. Van Nostrand Reinhold Company, 1982.
10. C. L. Beck, "Minimality for uncertain systems and IQCs," in Proc. IEEE Control and Decision Conference, 1994.
11. J. C. Doyle, F. Paganini, R. D'Andrea, and S. Khatri, "Approximate behaviors," in Proc. IEEE Control and Decision Conference, 1996.
12. P. Gahinet, A. Nemirovskii, A. J. Laub, and M. Chilali, The LMI Control Toolbox. The MathWorks Inc., 1995.
13. F. Alizadeh, J. P. Haeberly, M. Nayakkankup-pam, and M. Overton, SDPpack: New Code for Semidefinite Programming. 1997. Available via http://www.cs.nyu. edu/phd-students/madhu/sdppack/sdppack.html.