On a general nonlinear problem with distributed delays

被引：0
作者：
N. Tatar
机构：
[1] King Fahd University of Petroleum and Minerals,
来源：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2017年 / 52卷
关键词：
Neural network; activation function; distributed delay; exponential stabilization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper considers a general system of ordinary differential equations appearing in the neural network theory. The activation functions are assumed to be continuous and bounded by power type functions of the states and distributed delay terms. These activation functions are not necessarily Lipschitz continuous as it is commonly assumed in the literature. We obtain sufficient conditions for exponential decay of solutions.
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页码：184 / 190
页数：6
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