| 带有时滞的Clifford值神经网络的全局指数稳定性 |
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| 引用本文： | 舒含奇,宋乾坤.带有时滞的Clifford值神经网络的全局指数稳定性[J].应用数学和力学,2017,38(5):513-525. |
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| 作者姓名： | 舒含奇 宋乾坤 |
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| 作者单位： | 1重庆交通大学 经济与管理学院, 重庆 400074;2重庆交通大学 数学系, 重庆 400074 |
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| 基金项目： | 国家自然科学基金(61273021 |
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| 摘 要： | 研究了带有离散时滞和分布时滞的Clifford值递归神经网络的全局指数稳定性问题.首先运用M矩阵的性质和不等式技巧证明了Clifford值递归神经网络平衡点的存在性和唯一性；然后通过数学分析方法,得到了Clifford值递归神经网络全局指数稳定的判定条件；最后数值仿真例子验证了获得结果的有效性.
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| 关 键 词： | Clifford值神经网络 平衡点 离散时滞 分布时滞 全局指数稳定性 M矩阵 |
| 收稿时间： | 2016-10-17 |
Global Stability of Clifford-Valued Recurrent Neural Networks With Mixed Time-Varying Delays |
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| SHU Han-qi,SONG Qian-kun.Global Stability of Clifford-Valued Recurrent Neural Networks With Mixed Time-Varying Delays[J].Applied Mathematics and Mechanics,2017,38(5):513-525. |
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| Authors: | SHU Han-qi SONG Qian-kun |
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| Institution: | 1School of Economics and Management, Chongqing Jiaotong University, Chongqing 400074, P.R.China;2Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, P.R.China |
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| Abstract: | The global exponential stability of Clifford-valued recuiTent neural networks (RNNs) with both asynchronous time-varying and continuously distributed delays was studied.First,the existence and uniqueness of the equilibrium points of delayed Clifford-valued RNNs were proved with the inequality technique and the M-matrix properties.Then,based on the mathematical analysis method,some determinant conditions ensuring the global exponential stability of such systems were obtained.The simulation results of a numerical example substantiate the effectiveness of the theoretical analysis. |
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| Keywords: | Clifford-valued recurrent neural network equilibrium point asynchronous time-varying delay distributed delay global exponential stability M-matrix |
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