Novel global asymptotic stability criteria for delayed cellular neural networks
Novel global asymptotic stability criteria for delayed cellular neural networks
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DOI：
10.1109/tcsii.2005.849000
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发表时间：
2005-07
期刊：
影响因子：
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通讯作者：
Shengyuan Xu;J. Lam;D. Ho;Y. Zou
中科院分区：
文献类型：
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作者：
Shengyuan Xu;J. Lam;D. Ho;Y. Zou
本文改进了时滞细胞神经网络平衡点存在唯一性和全局渐近稳定性的条件。利用更一般的Lyapunov-Krasovskii泛函得到了时滞相关和时滞无关的条件。这些条件表示的线性矩阵不等式，这可以很容易地检查最近开发的标准算法。通过与文献中最近报道的结果进行数值比较，证明了所提出的准则具有较低的保守性。
This brief provides improved conditions for the existence of a unique equilibrium point and its global asymptotic stability of cellular neural networks with time delay. Both delay-dependent and delay-independent conditions are obtained by using more general Lyapunov-Krasovskii functionals. These conditions are expressed in terms of linear matrix inequalities, which can be checked easily by recently developed standard algorithms. Examples are provided to demonstrate the reduced conservatism of the proposed criteria by numerically comparing with those reported recently in the literature.