摘要
利用矩阵测度、Liapunov函数和Halanay时滞不等式的方法研究了具有变时滞的细胞神经网络模型平衡点的全局指数稳定性问题.给出了判定平衡点全局指数稳定性的几个代数判据,可用于时滞细胞神经网络的设计与检验,数值算例说明其结果的优越性.
The global exponential stability of cell neural networks with time-varying delays is discussed. Based on the Halanay inequality and matrix measure, some new sufficient conditions are obtained to ensure the global exponential stability for the DCNN via constructing a proper Lyapunov functional. The results improve and extend some of the earlier publications. In the end of this paper, an example is illustrated to show the effectiveness of our results.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第15期194-199,共6页
Mathematics in Practice and Theory
基金
江苏省自然科学基金(BK2008119)
徐州师范大学自然科学基金(03XLA01)
