Delay-dependent stability for neural networks with time-varying delay
Delay-dependent stability for neural networks with time-varying delay
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DOI：
10.1016/j.chaos.2006.01.025
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发表时间：
2007-07
影响因子：
7.8
通讯作者：
Hailin Liu;Guohua Chen
中科院分区：
文献类型：
--
作者：
Hailin Liu;Guohua Chen
本文研究了时变时滞神经网络的时滞相关稳定性问题。采用自由加权矩阵方法推导了基于LMI的准则，其中去除了时变延迟的导数的限制。延迟相关和速率无关的稳定性准则是作为一个简单的推论而导出的。最后，通过数值算例证明了所提出的稳定性准则的有效性及其对现有结果的改进。
In this paper, delay-dependent stability problem for neural networks with a time-varying delay is studied. The free-weighting matrix method is employed to derive an LMI-based criterion, in which the restriction of the derivative of a time-varying delay is removed. A delay-dependent and rate-independent stability criterion is derived as an easy corollary. Finally, the effectiveness of the presented stability criterion and its improvement over the existing results are demonstrated in numerical examples.