变时滞神经网络鲁棒稳定的一个新判据  

New Criterion for Robust Stability of Neural Networks with Time-Varying Delays

作　　者：邵晋梁[1] 黄廷祝[1] 

机构地区：[1]电子科技大学数学科学学院,成都610054

出　　处：《电子科技大学学报》2010年第4期617-622,共6页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(60973015);四川省国际科技合作与交流项目(2009HH0025)

摘　　要：研究了一类变时滞区间细胞神经网络的全局渐近鲁棒稳定性。基于非负矩阵理论和Lyapunov-Razumikhin分析方法,得到了变时滞区间细胞神经网络全局渐近鲁棒稳定的一个充分条件,该条件与时滞参数无关且易于验证。理论分析和数值例子表明所得条件推广了已有文献中得到的两个相应的结果,是对区间神经网络鲁棒稳定性研究的有效补充。数值例子和相应的计算机仿真验证了所得结果的有效性。The global asymptotical robust stability of neural networks with time-varying delays is investigated. Based on nonnegative matrix theory and Lyapunov-Razumikhin technique, a sufficient condition for global asymptotical robust stability is given, which is independent of time delays and can be verified easily. Theoretical analysis and numerical examples show that the obtained condition generalizes two corresponding results derived in the literatures, and complements the results concerning the robust stability research of neural networks effectively. A numerical example and the corresponding computer simulation are presented to verify the effectiveness of the obtained result.

关 键 词：细胞神经网络 非负矩阵 鲁棒稳定性 时滞 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]