A Review on Mathematical Methods to Approximate µ-Values

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DOI: https://doi.org/10.28924/2291-8639-22-2024-232
Published: Dec 9, 2024
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Mutti-Ur Rehman, Sukhrob Babaev, A Review on Mathematical Methods to Approximate µ-Values, Int. J. Anal. Appl., 22 (2024), 232.

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Mutti-Ur Rehman, Sukhrob Babaev

Abstract

In this article, we review a number of iterative and analytical techniques to approximate structured singular values or µ-values which is a straightforward generalization of singular values for square and rectangular matrices. The µ-value is a well-known tool which acts as a strong link between numerical linear algebra and control theory. The computation of structured singular value provides a platform to study and discuss stability, performance, and robustness of the system. Furthermore, we review some very important literature that discusses the applications of structured singular values in different areas of engineering.

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