| 引用本文: | 郑 敏,费树岷.一类状态及输入均有区间变时滞的线性系统之镇定[J].控制理论与应用,2008,25(5):956~958.[点击复制] |
| ZHENG Min,FEI Shu-min.Stabilization of linear systems with interval time-varying delay in both state and input[J].Control Theory and Technology,2008,25(5):956~958.[点击复制] |
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| 一类状态及输入均有区间变时滞的线性系统之镇定 |
| Stabilization of linear systems with interval time-varying delay in both state and input |
| 摘要点击 1336 全文点击 102 投稿时间：2007-02-27 修订日期：2007-08-30 |
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| DOI编号 10.7641/j.issn.1000-8152.2008.5.033 |
| 2008,25(5):956-958 |
| 中文关键词 输入时滞 状态时滞 镇定 Lyapunov-Krasovskii 泛函 线性矩阵不等式 |
| 英文关键词 input delays state delays stabilization Lyapunov-Krasovskii functional linear matrix inequality(LMI) |
| 基金项目 国家自然科学基金资助项目(60574006). |
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| 中文摘要 |
| 对一类同时具有状态和输入变时滞的线性系统\dot x(t) = Ax(t) + A1x(t-τ1(t)) + B1u(t) + B2u(t-τ2(t)),利用一种时滞划分形式的Lyapunov-Krasovskii泛函讨论其镇定问题. 得到通过状态反馈控制使闭环系统稳定的时滞相关的镇定准则. 对(A,B1)和(A + A1,B1)都不可控的数值实例, 利用本文给出的准则都能得到有效的控制. |
| 英文摘要 |
| A new Lyapunov-Krasovskii functional based on fractioning the average delay is presented to synthesize the stabilization of linear systems with interval time-varying delay in both state and input. A new functional is used to obtain the delay-dependent criterion for ensuring the stability for the closed-loop system with a state feedback controller. Numerical example is given to demonstrate the effectiveness of the proposed method, even though the pairs (A,B1)and/or(A + A1,B11)are not controllable. |