| 引用本文: | 俞立，陈国定，杨马英.具有滞后摄动的线性系统鲁棒稳定性分析[J].控制理论与应用,1999,16(4):577~579.[点击复制] |
| Yu Li，Chen Guoding and Yang Maying.Robust Stability Analysis for Linear Systems with Delayed Perturbations[J].Control Theory and Technology,1999,16(4):577~579.[点击复制] |
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| 具有滞后摄动的线性系统鲁棒稳定性分析 |
| Robust Stability Analysis for Linear Systems with Delayed Perturbations |
| 摘要点击 679 全文点击 414 投稿时间：1997-07-04 修订日期：1998-05-11 |
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| DOI编号 |
| 1999,16(4):577-579 |
| 中文关键词 稳定性 滞后 鲁棒性 |
| 英文关键词 stability delay robustness |
| 基金项目 |
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| 中文摘要 |
| 基于Lyapunov 稳定性理论，导出了具有滞后时变摄动的线性系统二次稳定的一个充分必要条件，通过求解一个具有线性矩阵不等式约束的凸优化问题，得到了保持系统稳定的最大允许摄动界，文中的例子说明了：和现有的方法相比，本文提出的方法具有更小的保守性. |
| 英文摘要 |
| The paper presents a necessary and sufficient condition for quadratic stability of linear with time-varying delayed perturbation.The largest bound on such perturbation that guarantee system stability is derived by solving a convex optimization problem with linear matrix inequality constraint.Two numerical examples are given to illustrate the results. Compared with the existing methods, the method proposed in this of less conservation. |