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A power method for the structured singular value

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3 Author(s)
Packard, A. ; Dept. of Electr. Eng., Caltech, Pasadena, CA, USA ; Fan, M.K.H. ; Doyle, J.

An iterative algorithm is presented to compute lower bounds for the structured singular value (μ). 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 μ results. The authors prove that μ 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

Published in:

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Date of Conference:

7-9 Dec 1988