| 引用本文: | 华民刚,邓飞其,彭云建.不确定变时滞随机系统的鲁棒均方指数稳定性[J].控制理论与应用,2009,26(5):558~561.[点击复制] |
| HUA Min-gang,DENG Fei-qi,PENG Yun-jian.Robust mean square exponential stability of uncertain stochastic systems with time-varying delay[J].Control Theory and Technology,2009,26(5):558~561.[点击复制] |
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| 不确定变时滞随机系统的鲁棒均方指数稳定性 |
| Robust mean square exponential stability of uncertain stochastic systems with time-varying delay |
| 摘要点击 1753 全文点击 1079 投稿时间：2008-03-05 修订日期：2008-11-14 |
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| DOI编号 10.7641/j.issn.1000-8152.2009.5.017 |
| 2009,26(5):558-561 |
| 中文关键词 随机系统 均方指数稳定性 线性矩阵不等式(LMI) |
| 英文关键词 stochastic systems mean square exponential stability linear matrix inequality(LMI) |
| 基金项目 国家自然科学基金资助项目(60874114); 广东省自然科学基金资助项目(011629). |
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| 中文摘要 |
| 研究了不确定变时滞随机系统的鲁棒均方指数稳定性问题, 不确定性是范数有界的. 通过构造Lyapunov泛函, 得到了基于线性矩阵不等式的鲁棒均方指数稳定的充分条件. 最后给出实例加以验证所提出方法的有效性. |
| 英文摘要 |
| The problem of robust mean square exponential stability for uncertain stochastic systems with time-varying delay is discussed. The uncertainty is assumed to be of norm-bounded form. The robust mean square exponential stability condition is then derived on the basis of linear matrix inequalities by constructing Lyapunov-Krasovskii functional. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. |