%0 Journal Article
%T Existence Condition on Solutions to the Algebraic Riccati Equation<br>代数Riccati方程解的存在性条件
%A NI Mao-Lin
%A <br>倪茂林
%J 自动化学报
%D 2008
%I 
%X First,the existence conditions on the solutions to the algebraic Riccati equation are reviewed.Then,a strict proof is presented for a necessary and sufficient condition on the exis- tence of a unique optimal positive definite solution to this equa- tion.By using this condition,some untrue results on the design of robust decentralized controllers are corrected.
%K Riccati equation
%K optimal control
%K robust control
%K stability
%K decentralized control<br>Riccati
%K equation
%K optimal
%K control
%K robust
%K control
%K stability
%K decentralized
%K control
%K 代数
%K Algebraic
%K Riccati
%K Equation
%K 方程解
%K 存在性条件
%K Solutions
%K Condition
%K results
%K design
%K robust
%K corrected
%K sufficient
%K condition
%K strict
%K proof
%K unique
%K optimal
%K positive
%K definite
%K solution
%K algebraic
%K Riccati
%K equation
%K existence
%K conditions
%K solutions
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=AC06C418ED5F91F16CE147137357A1CE&yid=67289AFF6305E306&vid=339D79302DF62549&iid=CA4FD0336C81A37A&sid=CD775AE9DDBD7B53&eid=117F81797AB182FC&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=16