New results on robust exponential stability for discrete recurrent neural networks with time-varying delays

New results on robust exponential stability for discrete recurrent neural networks with time-varying delays
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具有时变延迟的离散循环神经网络鲁棒指数稳定性的新结果

DOI:
10.1016/j.neucom.2009.01.010
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发表时间:
2009-08
期刊:
影响因子:
6
通讯作者:
Chu, Jian
Chu, Jian
中科院分区:
计算机科学2区
文献类型:
--
作者:
Wu, Zhengguang;Su, Hongye;Zhou, Wuneng;Chu, Jian

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研究了一类具有时变时滞的不确定离散递归神经网络的鲁棒指数稳定性问题。利用线性矩阵不等式(LMI)方法,通过一种新的李雅普诺夫函数,给出了系统稳定性的新条件。在我们的理论推导中,既没有使用任何模型变换,也没有使用自由加权矩阵。所建立的稳定性准则显着改进和简化了一些现有的稳定性条件。数值算例验证了所提方法的有效性。
This paper is concerned with the problem of robust exponential stability analysis for uncertain discrete recurrent neural networks with time-varying delays. In terms of linear matrix inequality (LMI) approach, some novel stability conditions are proposed via a new Lyapunov function. Neither any model transformation nor free-weighting matrices are employed in our theoretical derivation. The established stability criteria significantly improve and simplify some existing stability conditions. Numerical examples are given to demonstrate the effectiveness of the proposed methods.
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