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arXiv · 2007.05222

Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds

Olof Troeng
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Abstract

We show that the structured singular value of a real matrix with respect to five full complex uncertainty blocks equals its convex upper bound. This is done by formulating the equality conditions as a feasibility SDP and invoking a result on the existence of a low-rank solution. A counterexample is given for the case of six uncertainty blocks. Known results are also revisited using the proposed approach.

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Olof Troeng. 2020-07-10. Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds. https://doi.org/10.1109/lcsys.2020.3004297

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