%0 Journal Article
%T Matrix bounds for the solution of the unified algebraic Lyapunov equation using Delta operator<br>基于Delta算子的统一代数Lyapunov方程解的上下界
%A ZHANG Duan-jin
%A YANG Ping
%A WU Jie
%A <br>张端金
%A 杨　苹
%A 吴　捷
%J 控制理论与应用
%D 2004
%I 
%X The estimation problem of matrix bounds for the continuous algebraic Lyapunov equation (CALE) and the discrete algebraic Lyapunov equation (DALE) could be considered by unified approach using delta operator. The upper and lower matrix bounds for the solution of the unified algebraic Lyapunov equation (UALE) are presented in terms of matrix inequality approach, and the obtained bounds reduce to existing ones for the continuous and discrete Lyapunov equations in the limiting cases. The proposed results are illustrated through an example.
%K Lyapunov equation
%K Delta operator
%K matrix bound<br>Lyapunov方程
%K Delta算子
%K 矩阵的界
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=51429927E2DC9990&yid=D0E58B75BFD8E51C&vid=659D3B06EBF534A7&iid=CA4FD0336C81A37A&sid=BB0EA31DB1B01173&eid=6700D0D256586E73&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=4&reference_num=10