کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418097 | 1339320 | 2015 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The complex geometry of a domain related to μ-synthesis
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We establish the basic complex geometry and function theory of the pentablock P, which is the bounded domainP={(a21,trA,detâ¡A):A=[aij]i,j=12âB} where B denotes the open unit ball in the space of 2Ã2 complex matrices. We prove several characterisations of the domain. We show that P arises naturally in connection with a certain robust stabilisation problem in control theory, the problem of μ-synthesis. We describe the distinguished boundary of P and exhibit a 4-parameter group of automorphisms of P. We demonstrate connections between the function theories of P and B. We show that P is polynomially convex and starlike, and we show that the real pentablock Pâ©R3 is a convex set bounded by five faces, three of them flat and two curved.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 422, Issue 1, 1 February 2015, Pages 508-543
Journal: Journal of Mathematical Analysis and Applications - Volume 422, Issue 1, 1 February 2015, Pages 508-543
نویسندگان
Jim Agler, Zinaida A. Lykova, N.J. Young,