New results on delay-dependent stability analysis for neutral stochastic delay systems

New results on delay-dependent stability analysis for neutral stochastic delay systems
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中性随机时滞系统时滞相关稳定性分析的新结果

DOI:
10.1016/j.jfranklin.2013.01.012
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发表时间:
2013-05
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Ya Zhang
Ya Zhang
中科院分区:
其他
文献类型:
--
作者:
Bo Song;Ju H. Park;Zheng-Guang Wu;Ya Zhang

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本文研究的是中性随机时滞系统的稳定性分析问题。首先,用鞅理论研究了包含伊藤积分的随机交叉项的期望。在此基础上,推导了中性随机时滞系统的改进时滞相关稳定性判据。在推导过程中,数学发展避免了有界随机交叉项,既没有使用模型变换方法,也没有使用自由加权矩阵方法。因此,该方法导致标准简单并且表现出较少的保守性。最后,提供了两个例子来证明所提出条件的有效性和减少的保守性。
This paper is concerned with the problem of stability analysis for neutral stochastic delay systems. Firstly, expectations of stochastic cross terms containing the Itô integral are investigated by the martingale theory. Based on this, an improved delay-dependent stability criterion is derived for neutral stochastic delay systems. In the derivation process, the mathematical development avoids bounding stochastic cross terms, and neither the model transformation method nor free-weighting-matrix method is used. Thus the method leads to a simple criterion and shows less conservatism. Finally, two examples are provided to demonstrate the effectiveness and reduced conservatism of the proposed conditions.
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