实矩阵的五块结构奇异值等于其上界
Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds
摘要：
证明了实矩阵关于5个全复不确定块的结构奇异值等于其凸上界。这是通过将等式条件公式化为可行性SDP并调用关于低秩解存在的结果来完成的。对于六个不确定块的情况给出了一个反例。已知的结果也重新使用所提出的方法。
英文摘要：
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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