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一类变时滞Cohen-Grossberg神经网络的全局指数稳定性

Global Exponential Stability of a Class of Cohen-Grossberg Neural Networks with Variable Delays
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摘要 研究了一类具变时滞的C ohen-Grossberg神经网络的全局指数稳定性.利用同胚映射理论、Lya-punov函数思想和不等式技巧,给出了平衡点存在唯一性和全局指数稳定性的新的判别准则. This paper is about the global exponential stability of a class of Cohen-Grossberg neural networks with variable delays. By employing the homoeomorphism theory, the idea of Lyapunov function and inequality technique, some new criteria are obtained to ensure the existence, uniqueness and global exponential stability of an equilibrium point.
作者 张丽娟 时宝
出处 《数学的实践与认识》 CSCD 北大核心 2008年第17期143-148,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(10461006) 烟台大学青年基金(SX06Z9)资助项目
关键词 Cohen—Grossberg神经网络 变时滞 全局指数稳定性 Cohen Grossberg neural networks Variable delays Global exponential stability
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