Riesz bases and exact controllability of C0-groups with one-dimensional input operators

被引：15
|
作者：
Guo, BZ [1 ]
Xu, GQ
机构：
[1] Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
[3] Univ Twente, NL-7500 AE Enschede, Netherlands
来源：
SYSTEMS & CONTROL LETTERS | 2004年 / 52卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
Riesz basis; controllability; functions of exponentials; semigroups;
D O I：
10.1016/j.sysconle.2003.12.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers linear infinite dimensional systems with C-0-group generators and one-dimensional admissible input operators. The exact controllability and Riesz basis generation property are discussed. The corresponding results of Jacob and Zwart (Advances in Mathematical Systems Theory, Birkhauser, Boston, MA, 2000) under the assumption of algebraic simplicity for eigenvalues of the generator are generalized to the case in which the eigenvalues are allowed to be algebraically multiple but with a uniform bound on the multiplicity. (C) 2003 Elsevier B.V. All rights reserved.
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页码：221 / 232
页数：12
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