A NEW LMI CONDITION FOR DELAY‐DEPENDENT ROBUST STABILITY OF STOCHASTIC TIME‐DELAY SYSTEMS
A NEW LMI CONDITION FOR DELAY‐DEPENDENT ROBUST STABILITY OF STOCHASTIC TIME‐DELAY SYSTEMS
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DOI：
10.1111/j.1934-6093.2005.tb00404.x
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发表时间：
2005-12
影响因子：
2.4
通讯作者：
Shengyuan Xu;J. Lam;X. Mao;Y. Zou
中科院分区：
文献类型：
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作者：
Shengyuan Xu;J. Lam;X. Mao;Y. Zou
本文研究了一类不确定非线性随机时滞系统的鲁棒稳定性。根据线性矩阵不等式，提出了一种改进的时滞相关条件，保证随机时滞系统在均方上呈指数稳定。该条件比文献中现有的条件更保守，并通过示例进行了证明。
This paper studies robust stability for a class of uncertain nonlinear stochastic time‐delay systems. In terms of a linear matrix inequality, an improved delay‐dependent condition guaranteeing that a stochastic delay system will be exponentially stable in the mean square is proposed. This condition is less conservative than existing ones in the literature and is demonstrated by means of an example.