کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
756276 1462329 2014 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing the L∞[0,h)L∞[0,h)-induced norm of a compression operator via fast-lifting
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Computing the L∞[0,h)L∞[0,h)-induced norm of a compression operator via fast-lifting
چکیده انگلیسی

This paper studies computing the induced norm of a compression operator defined on the Banach space L∞[0,h)L∞[0,h), which is a difficult problem since it is an infinite-rank operator. Two methods are provided for this problem, each of which can compute an upper bound and a lower bound of the induced norm by using an idea of staircase or piecewise linear approximation. Staircase approximation and piecewise linear approximation are applied through fast-lifting, by which the interval [0,h)[0,h) is divided into MM subintervals with equal width, and the approximation errors in these methods are ensured to be reciprocally proportional to MM or M2M2. The effectiveness of the proposed methods is demonstrated through numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 67, May 2014, Pages 1–8
نویسندگان
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