| 不确定随机时滞系统的指数稳定性 |
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| 引用本文： | 王芬.不确定随机时滞系统的指数稳定性[J].武汉科技大学学报(自然科学版),2006,29(5):520-523. |
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| 作者姓名： | 王芬 |
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| 作者单位： | 武汉科技大学理学院,湖北,武汉,430065 |
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| 摘 要： | 研究具有时滞项的不确定随机系统的指数稳定性。运用Itoe微分公式沿系统对构造的Lyapunov泛函进行微分，得到了用线性矩阵不等式表示的有关不确定随机时滞系统均方指数稳定的一个充分判据。此判据为非时滞依赖型，可以较好地运用到不易取得时滞信息的系统中。
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| 关 键 词： | 随机系统 时滞 指数稳定 线性矩阵不等式 |
| 文章编号： | 1672-3090(2006)05-0520-04 |
| 收稿时间： | 2006-03-19 |
| 修稿时间： | 2006年3月19日 |
Exponential Stability of Uncertain Stochastic Systems with Time Delay |
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| WANG Fen.Exponential Stability of Uncertain Stochastic Systems with Time Delay[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2006,29(5):520-523. |
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| Authors: | WANG Fen |
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| Institution: | College of Science, Wuhan University of Science and Technology, Wuhan 430065, China |
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| Abstract: | This paper is concerned with the exponential stability ot uncertain stochastic systems with time delays. By means of Itoe differential formula and Lyapunov functions, the author establishes sufficient conditions of exponential stability of uncertain stochastic systems with time delays. The delay-independent sufficient condition is derived in terms of linear matrix inequality. |
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| Keywords: | stochastic system time-varying delays exponential stability linear matrix inequality |
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