RATIONAL APPROXIMATION OF A CLASS OF INFINITE-DIMENSIONAL SYSTEMS .2. OPTIMAL CONVERGENCE-RATES OF LINFINITY APPROXIMANTS

被引：35

作者：

GLOVER, K

LAM, J

PARTINGTON, JR

机构：

[1] Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ, Trumpington Street

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1991年 / 4卷 / 03期

关键词：

DELAY SYSTEMS; SINGULAR VALUES; HANKEL OPERATORS; RATIONAL APPROXIMATION;

D O I：

10.1007/BF02551279

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The achievable errors in infinity-norm approximation of an irrational transfer function by a rational one of given degree are considered. Error bounds are given which have particular application to delay systems, and it is shown that optimal convergence rates are achievable if the corresponding impulse response has certain smoothness properties.

引用

页码：233 / 246

页数：14

共 23 条

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