| 引用本文: | 李涛,张合新,孙鹏.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[J].控制理论与应用,2010,27(11):1537~1542.[点击复制] |
| LI Tao,ZHANG He-xin,SUN Peng.New robust stability criteria for uncertain neutral-type systems with discrete and distributed delay[J].Control Theory and Technology,2010,27(11):1537~1542.[点击复制] |
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| 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 |
| New robust stability criteria for uncertain neutral-type systems with discrete and distributed delay |
| 摘要点击 1599 全文点击 1330 投稿时间：2009-09-07 修订日期：2010-03-07 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.11.CCTA091146 |
| 2010,27(11):1537-1542 |
| 中文关键词 Lyapunov-Krasovskii泛函 时滞分解 鲁棒稳定 线性矩阵不等式 Jensen不等式 |
| 英文关键词 Lyapunov-Krasovskii functional delay decomposition robust stability linear matrix inequality Jensen inequality |
| 基金项目 |
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| 中文摘要 |
| 基于离散时滞分解思想, 通过构造一种新的Lyapunov-Krasovskii泛函并结合Jensen不等式技巧, 建立了线性矩阵不等式(LMI)形式的时滞相关鲁棒稳定性新判据. 该方法允许中立时滞项的系数矩阵存在时变不确定性, 增强了系统的鲁棒性能. 同时针对分布时滞项难于处理的问题, 构造了其分解计算泛函. 数值算例表明所得结论的有效性和更低的保守性. |
| 英文摘要 |
| 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. |