时滞细胞神经网络部分状态脉冲镇定(英文)  

Impulsive Stabilization of Delayed Cellular Neural Networks via Partial States

作　　者：卢小梅[1] 陈武华[1] 杨宣访[2] 

机构地区：[1]广西大学数学与信息科学学院,南宁530004 [2]海军工程大学电气与信息工程学院,武汉430033

出　　处：《电子科技大学学报》2010年第6期810-816,共7页Journal of University of Electronic Science and Technology of China

基　　金：Supported by the National Natural Science Fund of China(60864002)~~

摘　　要：研究了具有变时滞的细胞神经网络的部分状态脉冲镇定问题。利用细胞神经网络激活函数的分段线性性,应用分段可微的Lyapunov函数,并结合Razumikhin型分析技术,得到了部分状态脉冲控制律存在的充分条件。该充分条件表示为基于互联矩阵和脉冲区间界的线性矩阵不等式。应用上述结果,对一类时滞细胞神经网络,提出了一种新的脉冲镇定方案。该脉冲镇定方案仅需利用部分状态的输出信息。最后,给出了一个数值例子说明了此方案的有效性。The problem of impulsive stabilization of delayed cellular neural networks （DCNNs） via partial states is discussed. The time delay is allowed to be time-varying. By utilizing the piecewise linear property of the activation function of DCNNs and applying piecewise differential Lyapunov combined with Razumikhin-type analysis techniques, a sufficient condition for the existence of the impulsive control law via partial states is derived. The sufficient condition is given in terms of linear matrix inequalities concerning the interconnection matrices and the bounds of the impulsive intervals. By using this result, an impulsive stabilization scheme for a class of DCNNs is proposed. The impulsive stabilization scheme only utilizes the output of partial states of the controlled DCNN. A numerical example illustrates the efficiency of the proposed method.

关 键 词：细胞神经网络 脉冲镇定 部分状态 变时滞 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]