%0 Journal Article
%T A Study on the LQ Inverse Problems<br>LQ逆问题研究
%A Li Renhou
%A Xie Songhe
%A Zhu Ronghua
%A <br>李人厚
%A 谢宋和
%A 朱荣华
%J 自动化学报
%D 1992
%I 
%X In this paper, the existence of the solutions of LQ inverse problems is studied for linear time-invariant systems. The parametric formula of the solutions of inverse problems are given. The analysis relations among the wegthing matrix Q and coefficients of the open-loop and closed-loop characteristic polynomials are obtained. Upon the given stable closed-loop poles, the matrix Q can correspondingly be determined.
%K LQ inverse problem
%K weighting matrix
%K characteristic polynomial<br>线性系统
%K LQ逆问题
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=1177B22D6269DD2ADFF8DBC943CD524E&yid=F53A2717BDB04D52&vid=13553B2D12F347E8&iid=E158A972A605785F&sid=D93AD940782892D0&eid=283B38DAD0D068F3&journal_id=0254-4156&journal_name=自动化学报&referenced_num=2&reference_num=0