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A power method for the structured singular value

Packard, Andy and Fan, Michael K. H. and Doyle, John (1988) A power method for the structured singular value. In: Proceedings of the 27th IEEE Conference on Decision and Control. Vol.3. IEEE , Piscataway, NJ, pp. 2132-2137.

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An iterative algorithm is presented to compute lower bounds for the structured singular value ( mu ). The algorithm resembles a mixture of power methods for eigenvalues and singular values, since the structured singular value can be viewed as a generalization of both. If the algorithm converges, a lower bound for mu results. The authors prove that mu is always an equilibrium point of the algorithm. However, since in general there are many equilibrium points, some heuristic ideas to achieve convergence are presented. Extensive numerical experience with the algorithm is discussed.

Item Type:Book Section
Related URLs:
URLURL TypeDescription
Doyle, John0000-0002-1828-2486
Additional Information:© 1988 IEEE. The authors gratefully acknowledge financial support from AFOSR, NASA, ONR and Honeywell SRC IRAD funding.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Honeywell IncorporatedUNSPECIFIED
Record Number:CaltechAUTHORS:20170712-160003131
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Official Citation:A. Packard, M. K. H. Fan and J. Doyle, "A power method for the structured singular value," Proceedings of the 27th IEEE Conference on Decision and Control, Austin, TX, 1988, pp. 2132-2137 vol.3. doi: 10.1109/CDC.1988.194710
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79035
Deposited By: Kristin Buxton
Deposited On:13 Jul 2017 03:03
Last Modified:15 Nov 2021 17:45

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