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

التفاصيل البيبلوغرافية
العنوان: Five-Full-Block Structured Singular Values of Real Matrices Equal Their Upper Bounds
المؤلفون: Olof Troeng
المصدر: IEEE Control Systems Letters
بيانات النشر: Institute of Electrical and Electronics Engineers (IEEE), 2021.
سنة النشر: 2021
مصطلحات موضوعية: Discrete mathematics, 0209 industrial biotechnology, Control and Optimization, Regular polygon, 02 engineering and technology, Upper and lower bounds, Singular value, Matrix (mathematics), 2 × 2 real matrices, 020901 industrial engineering & automation, Optimization and Control (math.OC), Control and Systems Engineering, Block (programming), FOS: Mathematics, Robust control, Mathematics - Optimization and Control, Counterexample, Mathematics
الوصف: 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.
تدمد: 2475-1456
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::463b9d8dd9b210ddc493fd4ffccb200d
https://doi.org/10.1109/lcsys.2020.3004297
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....463b9d8dd9b210ddc493fd4ffccb200d
قاعدة البيانات: OpenAIRE