%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