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离散递归神经网络平衡点控制及稳定性分析
作者单位:绍兴文理学院数学系 浙江绍兴312000
摘    要:通过将离散递归神经网络的状态空间分割为若干个子区域,控制其输出反馈权值、输入项及阈值等,分析在每一个子区域上平衡点的存在、唯一性问题,给出了其判定条件.并进一步讨论了平衡点渐近稳定、指数稳定性.通过举例说明给定的结果简明又容易验证.

关 键 词:离散递归神经网络  状态空间  平衡点  稳定性

Control and Stability Analysis of Equilibrium of Discrete-Time Recurrent Neural Networks
Ke Yunquan. Control and Stability Analysis of Equilibrium of Discrete-Time Recurrent Neural Networks[J]. Journal of Shaoxing College of Arts and Sciences, 2007, 0(2)
Authors:Ke Yunquan
Abstract:By dividing state space into some sub-domains and controlling the output synaptic weights,input terms and the threshold,we analyzed the existence and uniqueness of the equilibrium of discrete-time recurrent neural networks,giving some sufficient conditions for the existence of equilibrium in some sub-domains.Then the asymptotic stability and exponential stability of the equilibrium were investigated,giving some examples to illustrate that the results are concise and easy to operate.
Keywords:Discrete-time recurrent neural networks  state space  equilibrium  stability
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