Qualitative properties of solutions to H∞-optimization problems
Qualitative properties of solutions to H∞-optimization problems
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H∞ 优化问题解的定性性质
DOI：
10.1016/0022-1236(87)90099-1
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发表时间：
1987
影响因子：
1.7
通讯作者：
S. Hui
中科院分区：
文献类型：
--
作者：
S. Hui
设H∞表示L∞（dθ 2π）中负傅立叶系数为零的函数空间。设Γ（ei 0，z）是ei 0和z的非负函数，其中θ <$[0，2π]和z <$C.本文考虑用函数f <$H∞求解<$Γ（ei 0，f（ei 0））<$∞= inf {<$（ei 0，h（ei 0））<$∞：h <$H∞}.给出了保证上述方程解的存在性、唯一性和连续性的条件。
Let H∞ denote the space of functions in L∞(dθ 2π) that have vanishing negative Fourier coefficients. Suppose Γ (e i0, z) is a nonnegative function of e i0 and z, where θ ϵ [0, 2π] and z ϵ C. This paper is concerned with solving∥ Γ (e i0, f (e i0))∥∞= inf {∥(e i0, h (e i0))∥∞: h ϵ H∞} with a function f ϵ H∞. Conditions on Γ that will guarantee the existence, uniqueness, and continuity of solutions to the above equation are given.