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Structured singular values for Bernoulli matrices
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Computing the Structured Singular Value
SIAM Journal on Matrix Analysis and Applications, 1992Discussing some problems of multivariable control theory, the author begins to examine some algorithms to compute the structured singular value due to \textit{J. C. Doyle} [Analysis of feedback systems with structured uncertainties. Proc. IEE-D 129, No. 6, 246-250 (1982; MR 84a:93035)]; this notion, in particular, includes the largest singular value of
G A Watson
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Structured singular values with nondiagonal structures. I. Characterizations
IEEE Transactions on Automatic Control, 1996[Part II is reviewed below (see Zbl 0879.93013).] The structured singular value is used is robustness analysis and design of feedback systems with multiple sources of modeling uncertainty. Here a generalized structure singular value is introduced and studied as a robust stability measure for a general class of uncertainties.
M K H Fan
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Structured singular values with nondiagonal structures. II. Computation
IEEE Transactions on Automatic Control, 1996This is a continuation of the paper on generalized structured singular values [the authors, IEEE Trans. Autom. Control 41, No. 10, 1507-1511 (1996; Zbl 0879.93012)]. Here a numerical method for calculating this value is formulated. It consists of computing an upper norm bound scaled by a similarity transformation. This bound is equal to the generalized
M K H Fan
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On structured singular values of reciprocal matrices
Systems and Control Letters, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shigeru Yamamoto
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Non-negative matrices and their structured singular values
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023In this article, we present new results for the computation of structured singular values of non-negative matrices subject to pure complex perturbations. We prove the equivalence of structured singular values and spectral radius of perturbed matrix (M∆).
Rehman, M., Rasulov, T., Aminov, B.
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