| 引用本文: | 何 勇, 吴 敏.多时变时滞系统的鲁棒稳定及有界实引理的时滞相关条件[J].控制理论与应用,2004,21(5):735~741.[点击复制] |
| HE Yong,WU Min.Delay-dependent conditions for robust stability and bounded real lemma of systems with multiple time-varying delays[J].Control Theory and Technology,2004,21(5):735~741.[点击复制] |
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| 多时变时滞系统的鲁棒稳定及有界实引理的时滞相关条件 |
| Delay-dependent conditions for robust stability and bounded real lemma of systems with multiple time-varying delays |
| 摘要点击 1073 全文点击 1978 投稿时间：2003-04-09 |
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| DOI编号 |
| 2004,21(5):735-741 |
| 中文关键词 多时变时滞 鲁棒稳定性 有界实引理 线性矩阵不等式 时滞相关条件 |
| 英文关键词 multiple time-varying delays robust stability bounded real lemma linear matrix inequality delay-dependent conditions |
| 基金项目 博士点基金项目(2000053303). |
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| 中文摘要 |
| 对于多时变时滞系统,引入表示牛顿-莱布尼兹公式中各项的相互关系的自由权矩阵,获得了基于线性矩阵不等式(LMI)描述的系统鲁棒稳定的时滞相关条件,并说明了时滞相关条件和时滞无关条件的相互关系.在此基础上,将其推广到有界实引理的时滞相关条件.所得结果克服了已有结果的保守性.最后给出实例说明本文方法的有效性. |
| 英文摘要 |
| Based on linear matrix inequality(LMI),some delay-dependent conditions were derived for the robust stability of the systems with multiple time-varying delays.Some free weighting matrices were employed to describe the reciprocal relationships between the terms in Newton-Leibniz formula.Then the relationship between the delay-dependent conditions and delay-independent ones were discussed.And,the results were extended to the delay-dependent bounded real lemma for systems.The proposed results overcome the conservativeness of the existing results.Finally,some examples were provided to demonstrate the (effectiveness) of the proposed method. |