Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems

被引：31
|
作者：
Curtain, RF [1 ]
Sasane, AJ [1 ]
机构：
[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2001年 / 74卷 / 12期
关键词：
D O I：
10.1080/00207170110061059
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We examine the relationships between the exponential (or strong) stability of certain classes of regular linear systems and the compactness and nuclearity properties of the Hankel operator. New sufficient conditions for nuclearity are given for exponentially stable regular linear systems with an analytic semigroup.
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页码：1260 / 1270
页数：11
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