COMPUTING THE 1-NORM OF THE IMPULSE-RESPONSE OF LINEAR TIME-INVARIANT SYSTEMS

被引：11

作者：

RUTLAND, NK ^{[1
]}

LANE, PG ^{[1
]}

机构：

[1] UNIV MANCHESTER,INST SCI & TECHNOL,DEPT BIOCHEM & APPL MOLEC BIOL,MANCHESTER M60 1QD,LANCS,ENGLAND

来源：

SYSTEMS & CONTROL LETTERS | 1995年 / 26卷 / 03期

关键词：

LINEAR AND TIME-INVARIANT SYSTEMS; IMPULSE RESPONSE; 1-NORM; LOWER AND UPPER BOUNDS; COMPUTING THE 1-NORM;

D O I：

10.1016/0167-6911(95)00022-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Lower and upper bounds to the 1-norm of the impulse response of linear time-invariant systems are derived. It is shown that the bounds can be adjusted so that the difference between them is arbitrarily small. An algorithm is described that uses the bounds to compute the 1-norm of the impulse response to a pre-specified tolerance. Details are given of how to compute the bounds for state-space systems. Finally, two numerical examples of using the algorithm are given.

引用

页码：211 / 221

页数：11

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