Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays
Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays
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DOI：
10.1016/j.jfranklin.2008.04.011
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发表时间：
2008-10
期刊：
影响因子：
--
通讯作者：
O. Kwon;Ju H. Park
中科院分区：
文献类型：
--
作者：
O. Kwon;Ju H. Park
研究了具有离散和分布时变时滞的不确定细胞神经网络的稳定性问题。基于Lyapunov函数方法和凸优化方法，基于线性矩阵不等式(LMI)，给出了系统时滞相关稳定性的新判据。为了有效地将LMI问题作为一个凸优化问题来求解，本文采用了内点算法。最后给出了一个数值算例，验证了结果的有效性。
In this paper, the problem of stability of uncertain cellular neural networks with discrete and distribute time-varying delays is considered. Based on the Lyapunov function method and convex optimization approach, a new delay-dependent stability criterion of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI as a convex optimization problem, the interior-point algorithm is utilized in this work. A numerical example is given to show the effectiveness of our results.