| 分数阶模糊时滞神经网络模型解的存在唯一性和有限时间稳定性 |
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| 引用本文： | 哈金才,杨洪福,张启敏.分数阶模糊时滞神经网络模型解的存在唯一性和有限时间稳定性[J].数学杂志,2016,36(6):1261-1272. |
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| 作者姓名： | 哈金才 杨洪福 张启敏 |
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| 作者单位： | 北方民族大学数学与信息科学学院, 宁夏 银川 750021,北方民族大学数学与信息科学学院, 宁夏 银川 750021,北方民族大学数学与信息科学学院, 宁夏 银川 750021 |
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| 基金项目： | 宁夏自然科学基金资助(NZ15104);国家自然科学基金资助(11461053;11261043);宁夏高校科研项目资助(NGY20140152). |
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| 摘 要： | 本文介绍了一类分数阶模糊时滞神经网络模型.利用压缩映射原理,讨论了带时滞的分数阶神经网络模型解的存在性和唯一性,并根据Gronwall不等式结合分数阶微分方程的性质,证明了分数阶神经网络模型平衡点的有限时间稳定性,给出了有限时间稳定性的判断准则.最后,给出数值仿真说明了理论结果的正确性.
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| 关 键 词： | 分数阶模糊神经网络 存在性 唯一性 有限时间稳定性 |
| 收稿时间： | 2015/7/3 0:00:00 |
| 修稿时间： | 2016/4/8 0:00:00 |
EXISTENCE, UNIQUENESS AND FINITE TIME STABILITY OF FRACTIONAL ORDER FUZZY NEURAL NETWORKS WITH DELAY |
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| HA Jin-cai,YANG Hong-fu and ZHANG Qi-min.EXISTENCE, UNIQUENESS AND FINITE TIME STABILITY OF FRACTIONAL ORDER FUZZY NEURAL NETWORKS WITH DELAY[J].Journal of Mathematics,2016,36(6):1261-1272. |
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| Authors: | HA Jin-cai YANG Hong-fu and ZHANG Qi-min |
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| Institution: | School of Mathematics and Information Science, Beifang University for Nationalities, Yinchuan 750021, China,School of Mathematics and Information Science, Beifang University for Nationalities, Yinchuan 750021, China and School of Mathematics and Information Science, Beifang University for Nationalities, Yinchuan 750021, China |
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| Abstract: | In this paper, we introduce a class of fractional-order fuzzy neutral network system. According to Gronwall inequality, contraction mapping principle and the properties of fractional diffierential equation, the existence, uniqueness and finite time stability of fractional-order fuzzy neural networks with delay are researched. Finally, the numerical simulation is studied to illustrate the theory. |
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| Keywords: | fractional-order fuzzy neutral network existence uniqueness finite time stability |
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