Xu Shengyuan, Lam James, Ho Daniel W C, Zou Yun
IEEE Trans Syst Man Cybern B Cybern. 2005 Dec;35(6):1317-21. doi: 10.1109/tsmcb.2005.851539.
This paper considers the problem of global robust stability analysis of delayed cellular neural networks (DCNNs) with norm-bounded parameter uncertainties. In terms of a linear matrix inequality, a new sufficient condition ensuring a nominal DCNN to have a unique equilibrium point which is globally asymptotically stable is proposed. This condition is shown to be a generalization and improvement over some previous criteria. Based on the stability result, a robust stability condition is developed, which contains an existing robust stability result as a special case. An example is provided to demonstrate the reduced conservativeness of the proposed results.
本文考虑了具有范数有界参数不确定性的时滞细胞神经网络（DCNN）的全局鲁棒稳定性分析问题。基于线性矩阵不等式，提出了一个新的充分条件，以确保标称DCNN具有唯一的全局渐近稳定平衡点。结果表明，该条件是对一些先前准则的推广和改进。基于稳定性结果，给出了一个鲁棒稳定性条件，其中包含一个现有的鲁棒稳定性结果作为特殊情况。通过一个例子说明了所提结果降低了保守性。
