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具有时滞的细胞神经网络的稳定性 总被引:15,自引:3,他引:12
本文研究具有时滞的细胞神经网络的稳定性问题,利用构造李雅普诺夫泛函、常数变易法及不等式分析技巧,给出了时滞细胞神经网络全局渐近稳定性的充分条件。 相似文献
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考虑一类具有变时滞的静态神经网络的渐近稳定性问题,基于Lyapunov稳定性理论,时滞分解的思想,并利用时滞导数的上下界,得到了线性矩阵不等式表示的新的渐近稳定性条件,最后,两个数值例子表明所得结果较一些现存结果具有更小的保守性。 相似文献
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具有时滞的高阶Hopfield型神经网络的稳定性 总被引:4,自引:0,他引:4
通过Lyapunov泛函的方法,对具有时滞的高阶连续型Hopfield神经网络平衡点的稳定性进行分析,利用Razumikhin定理得到平衡点全局一致渐近稳定的时滞相关与时滞无关充分条件。 相似文献
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对于时滞双向联想记忆(DBAM)神经网络的平衡点的稳定性问题,目前人们已经得到了很多富有意义的成果。该文提出一种新的神经网络模型标准神经网络模型(SNNM),通过状态的线性变换,将DBAM神经网络转化为时滞SNNM(DSNNM),并利用有关DSNNM的稳定性的一些结论,得到DBAM神经网络平衡点的全局渐近稳定性的充分条件。这些条件都以线性矩阵不等式(LMI)的形式给出,容易验证,保守性低。该方法扩展了以前的稳定性结果,同时也适用于其它类型的递归神经网络(时滞或非时滞)的稳定性分析。 相似文献
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变时滞随机递归神经网络的全局指数稳定性 总被引:1,自引:0,他引:1
利用自由权值矩阵和不等式分析技巧,研究了一类随机变时滞神经网络的全局指数稳定性问题.该模型中考虑了神经网络的外部随机扰动因素,更加接近真实网络.通过构造适当的Lyapunov-Krasovskii泛函,以线性矩阵不等式形式给出了的全局指数稳定性判据,能够利用Matlab的LMI工具箱很容易地进行检验.此外,仿真结果进一步证明了结论的有效性. 相似文献
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本文主要研究不确定中立型BAM神经网络的鲁棒渐近稳定性问题, 不确定参数具有较范数有界更一般的线性分式形式, 考虑了中立时滞与状态时滞不相等的情况, 激励函数只要求满足有界和全局李普希兹条件,通过构造一个新的Lyapunov泛函, 利用Lyapunov-Krasovskii稳定性理论和一些不等式技术, 得到了具有较小约束的时滞中立型BAM神经网络的鲁棒渐近稳定性条件, 这个充分条件以线性矩阵不等式的形式给出, 容易验证.最后, 通过数值实例验证了所提算法的正确性和保守性. 相似文献
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采用It(o)'s微分公式和不等式分析技巧,研究了一类不确定随机变时滞神经网络的全局渐进稳定性问题.该模型同时考虑了神经网络模型的两种扰动因素,即随机扰动与不确定性扰动.不确定性参数是时变且范数有界的.通过构造适当的Lyapunov泛函,以线性矩阵不等式形式给出了平衡点在均方根意义下的全局渐进稳定性判据,能够利用LMI工具箱很容易地进行检验.此外,仿真示例证明了结论的有效性. 相似文献
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《IEEE transactions on circuits and systems. I, Regular papers》2008,55(10):3145-3159
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Zhang Yi Kok Kiong Tan 《IEEE transactions on circuits and systems. I, Regular papers》2005,52(11):2482-2489
Recurrent neural networks of the Lotka-Volterra model have been proven to possess characteristics which are desirable in some neural computations. A clear understanding of the dynamical properties of a recurrent neural network is necessary for efficient applications of the network. This paper studies the global convergence of general Lotka-Volterra recurrent neural networks with variable delays. The contributions of this paper are: 1) sufficient conditions are established for lower positive boundedness of the networks; 2) global exponential stability conditions are obtained for the networks. These conditions are totally independent of the variable delays which are therefore allowed to be uncertain; 3) novel Lyapunov functionals are constructed to establish delays dependent conditions for global asymptotic stability, and 4) simulation results and examples are provided to supplement and illustrate the theoretical contributions presented. 相似文献
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Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays 总被引:1,自引:0,他引:1
Zhigang Zeng Jun Wang Xiaoxin Liao 《Circuits and Systems II: Express Briefs, IEEE Transactions on》2005,52(3):168-173
This brief studies the global asymptotic stability and the global exponential stability of neural networks with unbounded time-varying delays and with bounded and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks are derived. The new results given in the brief extend the existing relevant stability results in the literature to cover more general neural networks. 相似文献
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Global asymptotic stability and global exponential stability of delayed cellular neural networks 总被引:4,自引:0,他引:4
Liao X.X. Jun Wang Zhigang Zeng 《Circuits and Systems II: Express Briefs, IEEE Transactions on》2005,52(7):403-409
In this brief, many novel theorems and corollaries are presented regarding the global asymptotic stability and global exponential stability of cellular neural networks with constant and variable time delays. The stability conditions in the new results improve and generalize existing ones. Several examples are discussed to compare the new results with the existing ones. 相似文献
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Wu-Hua Chen Wei Xing Zheng 《IEEE transactions on circuits and systems. I, Regular papers》2006,53(3):644-652
In this paper, the problem of stability analysis for a class of neural networks with distributed delays is investigated. Applying the M-matrix theory and new analysis technique, novel sufficient conditions for the existence, uniqueness, and global asymptotic stability of the equilibrium point of neural networks with distributed delays are derived. The new stability criteria can be applied to the case when the nondelayed terms cannot dominate the delayed terms, which have great significance in the design and application of neural networks with distributed delays. Three illustrative examples are presented which demonstrate the usefulness of the proposed results. 相似文献
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Global asymptotic and robust stability of recurrent neural networks with time delays 总被引:4,自引:0,他引:4
In this paper, two related problems, global asymptotic stability (GAS) and global robust stability (GRS) of neural networks with time delays, are studied. First, GAS of delayed neural networks is discussed based on Lyapunov method and linear matrix inequality. New criteria are given to ascertain the GAS of delayed neural networks. In the designs and applications of neural networks, it is necessary to consider the deviation effects of bounded perturbations of network parameters. In this case, a delayed neural network must be formulated as a interval neural network model. Several sufficient conditions are derived for the existence, uniqueness, and GRS of equilibria for interval neural networks with time delays by use of a new Lyapunov function and matrix inequality. These results are less restrictive than those given in the earlier references. 相似文献
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Global asymptotic stability of cellular neural networks with unequal delays: LMI approach 总被引:4,自引:0,他引:4
A criterion for the global asymptotic stability and uniqueness of the equilibrium point of cellular neural networks with unequal delays is presented. The criterion is computationally efficient, since it is in the form of linear matrix inequality (LMI). 相似文献
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Cheng-De Zheng Yan Wang Zhanshan Wang 《Circuits, Systems, and Signal Processing》2014,33(4):1067-1094
This paper investigates the global asymptotic stability of a kind of fuzzy cellular neural networks with mixed delays under impulsive perturbations. The mixed delays include constant delay in the leakage term (i.e., “leakage delay”), time-varying delays, and continuously distributed delays. By using the quadratic convex combination method, reciprocal convex approach, Jensen integral inequality, and linear convex combination technique, several novel sufficient conditions are derived to ensure the global asymptotic stability of the equilibrium point of the considered networks. The proposed results, which do not require the differentiability and monotonicity of the activation functions, can be easily checked via Matlab software. Finally, two numerical examples are given to demonstrate the effectiveness and less conservativeness of our theoretical results over existing literature. 相似文献