一类变系数混合时滞细胞神经网络周期解的存在性和全局指数稳定性  

Global Exponential Stability of Periodic Solution of a Class of Cell Neural Networks with Variable Coefficients and Mixed Time-Varying Delays

作　　者：田安峰[1,2] 盖明久[1] 时宝[1] 黄诘[1] 

机构地区：[1]海军航空工程学院系统科学与数学研究所,山东烟台264001 [2]海军航空工程学院青岛分院,山东青岛266041

出　　处：《海军航空工程学院学报》2009年第6期711-715,共5页Journal of Naval Aeronautical and Astronautical University

摘　　要：应用Mawhin连续性定理和不等式方法,给出了一类变系数混合时滞细胞神经网络周期解存在和指数稳定的充分条件。该结论对神经网络的设计具有重要的参考价值。By applying Mawhin s continuation theorem and inequality techniques,sufficient conditions were established to guarantee a class of cell neural networks with variable coefficients and mixed time delays has a global exponentially stable periodic solution.The results are valuable in the design of neural networks.

关 键 词：周期解 细胞神经网络 存在性 指数稳定性 

分 类 号：O175.13[理学—数学] O193[理学—基础数学]