INTERNAL AND EXTERNAL STABILITY AND ROBUST STABILITY CONDITION FOR A CLASS OF INFINITE-DIMENSIONAL SYSTEMS

被引：15

作者：

YAMAMOTO, Y ^{[1
]}

HARA, S ^{[1
]}

机构：

[1] TOKYO INST TECHNOL, FAC ENGN, DEPT CONTROL ENGN, OKAYAMA 152, JAPAN

来源：

AUTOMATICA | 1992年 / 28卷 / 01期

关键词：

STABILITY; DISTRIBUTED PARAMETER SYSTEMS; ROBUSTNESS; FREQUENCY DOMAIN; DELAYS; FUNCTIONAL ANALYSIS; LAPLACE TRANSFORMS; SERVOMECHANISMS;

D O I：

10.1016/0005-1098(92)90009-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the current study of robust stability of infinite-dimensional systems, internal exponential stability is not necessarily guaranteed. This paper introduces a new class of impulse responses called R, in which the usual notion of L2-input/output stability guarantees not only external but also internal exponential stability. The result is applied to derive a closed-loop stability condition, and a version of the small gain theorem with internal exponential stability; this leads to a robust stability condition that also assures internal stability. An application to repetitive control systems is shown to illustrate the results.

引用

页码：81 / 93

页数：13