1) Global Moran's I
全局Moran's I指数
2) local Moran's I
局部Moran's I
3) global exponential
全局指数
1.
We start from the neural network s interconnection matrix and the neurons input and output activation function,through studying the special matrix and bounded monotone function,as well as taking advantage of Brouwer s fixed point theory and the method of constructing Lyapunov function,the uniqueness of the existence of the neural network s equilibrium point,the global exponential stability and th.
研究了一类神经网络,包括Hopfield神经网络和细胞神经网络,从神经网络的互连矩阵以及神经元输入输出的激励函数出发,通过研究特殊矩阵以及单调有界函数,利用Brouwers’不动点理论和构造Lyapunov函数的方法讨论神经网络平衡点的存在唯一性和全局指数稳定性以及指数的收敛速率,获得了一些充分条件以保证神经网络的平衡点的存在性、唯一性和全局指数的稳定性,并给出了一些条件下指数收敛速率的估计值。
4) globally exponential stability
全局指数稳定
1.
New sufficient conditions of globally exponential stability of generalized neural networks with time delays were presented by using Liapunov algorithm,linear matrix inequality and integral inequality.
对于具有时滞的广义神经网络,利用Liapunov函数方法、线性矩阵不等式以及积分不等式等技巧,给出了该神经网络模型的平衡点的存在性、惟一性以及全局指数稳定的一些充分条件。
2.
Using the technique by virtue of Young and Halanay inequalities,some new sufficient criteria are given to ensure the uniqueness of equilibrium point and globally exponential stability.
针对一类多时变时滞细胞神经网络,利用Young不等式和Halanay不等式技术,给出了保证平衡点惟一性和全局指数稳定性的几个充分判据。
3.
Employing the extended Halanay s delay differential inequality and Lyapunov functions, we study globally exponential stability of equilibrium states of cellular neural networks with time-varying delays.
本文利用Halanny时滞微分不等式和Lyapunov函数来研究具有可变时滞的细胞神经网络的平衡状态的全局指数稳定性,得到了不依赖于含任何未知函数存在性的简便代数判据,为实际应用提供方便。
5) global exponential stability
全局指数稳定性
1.
Periodic Solutions、Almost Periodic Solutions and Global Exponential Stability for Cellular Neural Networks with Delays;
时滞细胞神经网络的周期解、概周期解和全局指数稳定性
2.
Based on the relationship between matrix and symmetric matrix global exponential stability of the discrete-time neural networks model and the result of exponential convergence rate were obtained by using the characteristics of eigenvalues of a positive definite matrix and introducing a proper factor.
利用矩阵与对称矩阵的关系和正定矩阵特征值的性质,通过引入一个适当的因子,得到了该离散型神经网络模型是全局指数稳定性和指数收敛率的结果。
3.
Based on the extended Hanalay s inequality and the upper-right derivative,the global exponential stability for the second order Hopfield neural networks with time delays was investigated.
在不要求连接权矩阵的对称性和输入输出函数的可微性与单调性,只要求系统的参数满足是一个M矩阵的情况下,利用推广的Hanalay不等式和上右导数导得系统全局指数稳定性的若干充分条件。
6) globally exponential stability
全局指数稳定性
1.
The existence,uniqueness and globally exponential stability of the equilibrium point of a dynamic neural network with distributed delays were studied without assumption of boundedness and differentiability of activation functions.
在没有假定激励函数有界、可微的情况下,研究包含分布时滞的动态神经网络平衡点的存在性、唯一性和全局指数稳定性。
2.
By using Brouwer s fixed theorem, generalized Halanay s delay differential inequality and Dini s derivative, the existence of stationary point and globally exponential stability of recurrent neural networks with time-varying delay are studied.
利用Brouwer不动点定理,推广的Halanay时延微分不等式及Dini导数,讨论了具有变时滞循环神经网络模型的平衡点的存在性和全局指数稳定性,在不要求激活函数连续可导的条件下,得到了非常简单实用的判别条件。
3.
This paper studies the problem of globally exponential stability for the cellular neural networks.
综合运用矩阵范数、算子测度以及 Lyapunov函数法 ,讨论了细胞神经网络的全局指数稳定性 ,给出了一些较简洁的新的充分判据。
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