%0 Journal Article
%T A Problem on Riesz Basis Formed by a Closed-Loop System<br>闭环系统的Riesz基生成问题
%A WANG Yao-Ting
%A LI Sheng-Jia
%A LI Lu
%A <br>王耀庭
%A 李胜家
%A 李录
%J 自动化学报
%D 2001
%I 
%X In this paper, we deal with the spectrum and Riesz basis of infinite dimensional linear systems with infinite dimensional input output state spaces and unbounded input output operators. Using perturbation theory for basis, we give a sufficient condition which ensures all the generalized eigenvectors of the system to form a Riesz basis. A typical example is presented to illustrate the application of our result.
%K Closed-loop system
%K output
%K input spaces
%K Riesz basis<br>闭环系统
%K Riesz基
%K 分布参数系统
%K 边界控制
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=53F360CA75DC95A2&yid=14E7EF987E4155E6&vid=DB817633AA4F79B9&iid=94C357A881DFC066&sid=B7DE0F3CA34DA149&eid=2E4E3741E8FB64E9&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=10