| Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput |
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| 作者姓名： | 杨喜陶 |
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| 作者单位： | Department of |
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| 基金项目： | The Soft Project (B30145) of Science and Technology of Hunan Province. |
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| 摘 要： | By constructing Liapunov functions and building a new inequality, we obtain two kinds of sufficient conditions for the existence and global exponential stability of almost periodic solution for a Hopfield-type neural networks subject to almost periodic external stimuli. In this paper, we assume that the network parameters vary almost periodically with time and we incorporate variable delays in the processing part of the network architectures.
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| 关 键 词： | 神经网络 周期解 指数稳定性 Liapunov函数 |
Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput |
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| YANG Xi-tao.Existence and Exponential Stability of Almost Periodic Solution for Hopfield Neural Network Equations with Almost Periodic Imput[J].Northeastern Mathematical Journal,2006,22(2):199-205. |
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| Authors: | YANG Xi-tao |
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| Institution: | Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan Province, 411201 |
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| Abstract: | By constructing Liapunov functions and building a new inequality, we obtain two kinds of sufficient conditions for the existence and global exponential stability of almost periodic solution for a Hopfield-type neural networks subject to almost periodic external stimuli. In this paper, we assume that the network parameters vary almost periodically with time and we incorporate variable delays in the processing part of the network architectures. |
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| Keywords: | Hopfield neural network almost periodic solution exponential stability Liapunov function |
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