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一类具分布时滞的Hopfield网络模型的概周期解存在性与稳定性
EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTION OF HOPFIELD NEURAL NETWORKS WITH DISTRIBUTED DELAYS
【摘要】 利用Banach空间压缩不动点定理和微分不等式的分析技巧,研究一类具分布时滞的Hopfield神经网络模型的概周期解的存在性和稳定性.得到了系统存在概周期和全局指数稳定的新的充分条件.所得结果改进和推广了相关文献的结论.
【Abstract】 Under the help of the fixed point theory in Banach Space and analysis technique of differential inequality,we studied the existence and stability of almost periodic solution of Hopfield neural networks with distributed delays.Some novel sufficient conditions were given to guarantee the existence and global exponential stability of almost periodic solutions.Our results obtained here improve and extend some previous related results.
【关键词】 神经网络;
概周期解;
存在性;
全局指数稳定性;
【Key words】 neural networks; almost periodic solutions; existence; global exponential stability;
【Key words】 neural networks; almost periodic solutions; existence; global exponential stability;
【基金】 湖南省教育厅科研资助基金项目(09C1256);国家自然科学基金资助项目(10371034)
- 【文献出处】 经济数学 ,Mathematics in Economics , 编辑部邮箱 ,2009年03期
- 【分类号】O175.6
- 【被引频次】2
- 【下载频次】95