%0 Journal Article
%T REALIZATION THEORY IN BANACH SMCE FOR OPERATOR-VALUED WEIGHTING PATTERNS<br>算子值加权模式在Banach空间的实现理论
%A ZHU SHANG-WEI
%A WU JING-BO
%A <br>朱尚伟
%J 系统科学与数学
%D 1995
%I 
%X This paper deals with linear continuous-time systems that can be realized on Banach spaces. The input, output and state spaces here are all infinite-dimensional Banach spaces. We prove that a weighting pattern has a Banach space realization if and only if it is strongly continuous and of exponential order. An existence theorem of the Banach space realizations when the state operators are the infinitesimal generators of analytic semigroups is obtained. All the theorems are given in the time domain.
%K Linear system
%K weighting pattern
%K semigroup of operators
%K realization<br>线性系统，加权模式，算子半群，实现
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=7D6A61995D3BC2908C591370D3D8FF54&yid=BBCD5003575B2B5F&vid=23CCDDCD68FFCC2F&iid=38B194292C032A66&sid=D2742EEE6F4DF8FE&eid=78F0EFE028BD3783&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0