Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach
Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach
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DOI：
10.1016/j.sysconle.2004.10.005
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发表时间：
2005-06-01
影响因子：
2.6
通讯作者：
Lu, XM
中科院分区：
文献类型：
--
作者：
Chen, WH;Guan, ZH;Lu, XM
研究了多时滞随机系统的均方指数稳定性问题。一个时滞相关的充分条件，推导出的线性矩阵不等式（LMI），通过使用一个描述符模型变换的系统和应用月球的不等式边界交叉项。本文中得到的标准可以测试数值非常有效地使用内点算法。算例表明，所提方法比其它方法具有更小的保守性.© 2004 Elsevier B.V.保留所有权利。
In this paper, the problem of exponential stability in mean square for stochastic systems with multiple delays is investigated. A delay-dependent sufficient condition is derived in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Moon's inequality for bounding cross terms. The criteria obtained in this paper can be tested numerically very efficiently using interior point algorithms. An example shows that the proposed methods are less conservative than the other methods. © 2004 Elsevier B.V. All rights reserved.