Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds
Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds
复制标题
实矩阵的五整块结构化奇异值等于其上界
DOI：
10.1109/lcsys.2020.3004297
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发表时间：
2020
影响因子：
3
通讯作者：
Olof Troeng
中科院分区：
文献类型：
--
作者：
Olof Troeng
证明了真实的矩阵关于五个完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。
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.