%0 Journal Article
%T Stability criteria of multiple time-varying delays system with polytopic-type uncertainties<br>多胞不确定型多时变时滞系统的稳定性
%A LI Bo-ren
%A XU Bu-gong
%A <br>李伯忍
%A 胥布工
%J 控制理论与应用
%D 2010
%I 
%X The cross-product terms in the derivative of Lyapunov-Krasovskii functional are disposed by using the integral-equality approach, and the state-derivative term is reserved by employing Newton-Leibnitz formula and freeweighting matrix. System matrices and Lyapunov matrices in the stability condition of nominal system are separated; thus, robust stability criteria for polytopic-type uncertainties system are obtained easily. Finally, numerical example is given to demonstrate the effectiveness of the proposed method.
%K integral-equality
%K polytopic-type uncertainties
%K robust stability
%K linear matrix inequality(LMI)<br>积分等式
%K 多胞不确定型
%K 鲁棒稳定
%K 线性矩阵不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=E7820268A749D2A3AD1556FAA18BD2A4&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=B31275AF3241DB2D&sid=07C52AC66061533A&eid=45D68DF69BA881EC&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=19