具混合时滞和不连续激励函数的Cohen-Grossberg神经网络周期解的存在性Existence of Periodic Solutions of Cohen-Grossberg Neural Networks with Mixed Time Delays and Discontinuous Activations
张孟孟,赵前进
摘要(Abstract):
Cohen-Grossberg神经网络模型在信号处理、最优化问题中有重要应用,对其周期解的研究非常重要。本文利用集值版本的Mawhin重合度定理、M-矩阵理论和微分不等式技巧,研究了一类具有混合时滞和不连续激励函数的Cohen-Grossberg神经网络模型,建立了所研究模型周期解存在的充分条件,改进并推广了有关文献结果。
关键词(KeyWords): Cohen-Grossberg神经网络;周期解;集值版本的Mawhin重合度定理;不连续激励函数
基金项目(Foundation): 国家自然科学基金(11701007);; 安徽省自然科学基金(1808085QA01);; 安徽省教育厅高校自然科学基金重点项目(KJ2017A088);; 安徽理工大学青年基金重点项目(QN201605)
作者(Author): 张孟孟,赵前进
DOI: 10.13757/j.cnki.cn34-1328/n.2018.03.005
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