共查询到19条相似文献,搜索用时 359 毫秒
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《应用泛函分析学报》2016,(4)
在时间尺度上,通过使用线性动力方程的指数二分法、不动点理论和微积分理论,研究中立型泄漏时滞BAM神经网络模型,获得了一些使中立型泄漏时滞BAM神经网络模型概周期解存在和全局指数稳定的充分条件,并将以前的结论在时间尺度上做了扩展. 相似文献
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介绍了一类具分布时滞的模糊BAM(bi-directional associative memory)神经网络.通过构造Lyapunov-Krasovskii泛函及利用线性矩阵不等式方法,得到了此类系统平衡点的指数稳定性的一个充分条件.在设计具时滞的人工BAM神经网络时,全局指数稳定的结果有很重要的意义.此外,给出一个实例说明我们的结果是可行的. 相似文献
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一类变时滞神经网络的全局指数稳定性 总被引:1,自引:0,他引:1
本文研究一类变时滞神经网络平衡点的全局指数稳定性.在不要求激活函数全局Lipschitz条件下,利用Lyapunov函数方法,并结合Young不等式和Halanay时滞微分不等式,得到了系统全局指数稳定的充分条件.文末,一个数值例子用以说明本文结果的有效性. 相似文献
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讨论带有可变时滞的Hopfield神经网络的全局指数稳定性.在非线性激励函数满足Lipschitz条件的假设下,利用推广的Halanay不等式,Dini导数和分析技巧,建立了这类神经网络系统全局指数稳定的几个判别准则.这些判别准则仅仅依赖于系统的参数. 相似文献
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本文研究了当脉冲不太频繁易受大的脉冲影响下的时滞BAM神经网络具有唯一的指数稳定的平衡点.分析采用一个推广的比较原理和M-矩阵理论,得到一些关于唯一平衡点的收敛性的简单可行的充分条件.所得结果推广和改进了已有文献的结果. 相似文献
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吕小俊 《应用泛函分析学报》2018,(2)
本文通过使用李雅谱诺夫函数和不等式技巧等,在时间尺度上研究时滞CohenGrossberg BAM神经网络系统概周期解的全局指数稳定性,在此,不需要假设反应函数的有界性.最后,获得一些使其存在全局指数稳定的概周期解的充分条件,并给出例子去验证结果的有效性. 相似文献
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Wang Jinhua Xiang Hongjun 《Annals of Differential Equations》2007,23(2):209-217
In this Letter,a novel Lyapunov functional is constructed to investigate the exponential stability of the BAM neural networks.New sufficient conditions of the uniqueness and global exponential stability for the equilibrium of BAM neural networks with delays are obtained.The results improve those existing ones. 相似文献
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In this paper, the global robust exponential stability for a class of delayed BAM neural networks with norm-bounded uncertainty is studied. Some less conservative conditions are presented for the global exponential stability of BAM neural networks with time-varying delays by constructing a new class of Lyapunov functionals combined with free-weighting matrices. This novel approach, based on the linear matrix inequality (LMI) technique, removes some existing restrictions on the system’s parameters, and the derived conditions are easy to verify via the LMI toolbox. Comparisons between our results and previous results admit that our results establish a new set of stability criteria for delayed BAM neural networks. 相似文献
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Wang Xiaoping 《Annals of Differential Equations》2005,21(1):39-51
In this paper, we study the BAM neural networks with variable coefficients and delays. By using the Banach fixed point theorem and constructing suitable Lyapunov function, we obtain some sufficient conditions ensuring the existence, uniqueness and global stability of periodic solution. These results are helpful to design global exponential stable BAM networks and periodic oscillatory BAM networks. 相似文献
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In this paper, a class of fuzzy BAM neural networks with time varying delays is discussed. By using the properties of M-matrix, Linear Matrix Inequality(LMI) approach and general Lyapunov-Krasovskii functional, some new sufficient conditions are derived to ensure the existence of periodic solutions and the global exponential stability of the fuzzy BAM neural networks with time varying delays. These results have important significance in the design of global exponential stable BAM networks with delays. Moreover, an example is given to illustrate that the conditions of the results in the paper are feasible. 相似文献
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Xiaodi Li 《Applied mathematics and computation》2009,215(1):292-307
This paper is concerned with the existence and global exponential stability of periodic solution for a class of impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays. Some sufficient conditions ensuring the existence and global exponential stability of periodic solution are derived by constructing a suitable Lyapunov function and a new differential inequality. The proposed method can also be applied to study the impulsive Cohen-Grossberg-type BAM neural networks with finite distributed delays. The results in this paper extend and improve the earlier publications. Finally, two examples with numerical simulations are given to demonstrate the obtained results. 相似文献
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This paper deals with the problem of global exponential stability for bidirectional associate memory (BAM) neural networks with time-varying delays and reaction-diffusion terms. By using some inequality techniques, graph theory as well as Lyapunov stability theory, a systematic method of constructing a global Lyapunov function for BAM neural networks with time-varying delays and reaction-diffusion terms is provided. Furthermore, two different kinds of sufficient principles are derived to guarantee the exponential stability of BAM neural networks. Finally, a numerical example is carried out to demonstrate the effectiveness and applicability of the theoretical results. 相似文献
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Haibo Gu Haijun Jiang Zhidong Teng 《Nonlinear Analysis: Real World Applications》2009,10(5):3059-3072
By using the continuation theorem of coincidence degree theory and constructing a suitable Lyapunov functional, we derive some sufficient conditions for the existence and global exponential stability of a unique periodic solution of BAM neural networks, which assumes neither the monotony nor the boundedness of the activation functions. It is believed that these results are significant and useful for the design and applications of BAM neural networks. 相似文献
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Global exponential stability of BAM neural networks with time-varying delays: The discrete-time case
《Communications in Nonlinear Science & Numerical Simulation》2011,16(2):613-622
This paper deals with the problem of stability analysis for a class of discrete-time bidirectional associative memory (BAM) neural networks with time-varying delays. By employing the Lyapunov functional and linear matrix inequality (LMI) approach, a new sufficient conditions is proposed for the global exponential stability of discrete-time BAM neural networks. The proposed LMI based results can be easily checked by LMI control toolbox. Moreover, an example is also provided to demonstrate the effectiveness of the proposed method. 相似文献
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Yonghui Xia 《Journal of Applied Mathematics and Computing》2010,32(2):311-328
In this paper, we investigate the higher order Cohen-Grossberg-type bidirectional associative memory (BAM) neural networks with time delays. By using Lyapunov-Kravsovskii functional and homeomorphism theory, some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self regulation functions. Finally, an example and its simulations are presented to illustrate the global exponential stability of the equilibrium. 相似文献