%0 Journal Article
%T New robust stability criteria for uncertain neutral-type systems with discrete and distributed delay
含离散与分布时滞的不确定中立型系统鲁棒稳定性新判据
%A LI Tao
%A ZHANG He-xin
%A SUN Peng
%A
李涛
%A 张合新
%A 孙鹏
%J 控制理论与应用
%D 2010
%I
%X Being inspired by the idea of discrete time-delay decomposition, we formulate a new delay-dependent robust stability criterion in terms of linear matrix inequalities (LMIs) for the uncertain neutral-type systems with discrete and distributed time-delay. It is derived by constructing a new kind of Lyapunov-Krasovskii functional and combining the Jensen inequality technology. Time-varying uncertainties are allowed in the coefficient matrix of the neutral time-delay system, which improves the robust performance of the system. To deal with the difficulties in handling the distributed timedelay, we develop a decomposed functional for its calculation. Numerical examples show the effectiveness and reduced conservatism of the proposed design method.
%K Lyapunov-Krasovskii functional
%K delay decomposition
%K robust stability
%K linear matrix inequality
%K Jensen inequality
Lyapunov-Krasovskii泛函
%K 时滞分解
%K 鲁棒稳定
%K 线性矩阵不等式
%K Jensen不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=4D3E147F4FE8C5E1D2B8EEAC8DDEB250&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=708DD6B15D2464E8&sid=05D0CF7AA2D40B14&eid=111DC5BD3401BA43&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=0