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时滞切换递归神经网络的指数收敛状态估计

Exponentially convergent state estimation for delayed switched recurrent neural networks.

作者信息

Ahn Choon Ki

机构信息

Seoul National University of Science & Technology, Seoul, Korea.

出版信息

Eur Phys J E Soft Matter. 2011 Nov;34(11):122. doi: 10.1140/epje/i2011-11122-8. Epub 2011 Nov 21.

DOI:10.1140/epje/i2011-11122-8
PMID:22101508
Abstract

This paper deals with the delay-dependent exponentially convergent state estimation problem for delayed switched neural networks. A set of delay-dependent criteria is derived under which the resulting estimation error system is exponentially stable. It is shown that the gain matrix of the proposed state estimator is characterised in terms of the solution to a set of linear matrix inequalities (LMIs), which can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed state estimator.

摘要

本文研究了时滞切换神经网络的时滞依赖指数收敛状态估计问题。推导了一组时滞依赖准则,在该准则下,所得估计误差系统是指数稳定的。结果表明,所提出的状态估计器的增益矩阵可以通过一组线性矩阵不等式(LMI)的解来表征,这些不等式可以使用一些标准数值软件包轻松检验。给出了一个示例来说明所提出的状态估计器的有效性。

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本文引用的文献

1
Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay.具有随机时滞的离散时间随机神经网络的时滞分布相关状态估计。
Neural Netw. 2011 Jan;24(1):19-28. doi: 10.1016/j.neunet.2010.09.010. Epub 2010 Sep 29.
2
Robust state estimation for neural networks with discontinuous activations.具有不连续激活函数的神经网络的鲁棒状态估计
IEEE Trans Syst Man Cybern B Cybern. 2010 Dec;40(6):1425-37. doi: 10.1109/TSMCB.2009.2039478. Epub 2010 Feb 17.
3
Robust state estimation for uncertain neural networks with time-varying delay.
具有时变延迟的不确定神经网络的鲁棒状态估计
IEEE Trans Neural Netw. 2008 Aug;19(8):1329-39. doi: 10.1109/TNN.2008.2000206.
4
Further results on delay-dependent stability criteria of neural networks with time-varying delays.
IEEE Trans Neural Netw. 2008 Apr;19(4):726-30. doi: 10.1109/TNN.2007.914162.
5
An analysis of global asymptotic stability of delayed cellular neural networks.时滞细胞神经网络的全局渐近稳定性分析
IEEE Trans Neural Netw. 2002;13(5):1239-42. doi: 10.1109/TNN.2002.1031957.
6
Robust stability of switched Cohen-Grossberg Neural networks with mixed time-varying delays.
IEEE Trans Syst Man Cybern B Cybern. 2006 Dec;36(6):1356-63. doi: 10.1109/tsmcb.2006.876819.
7
Delay-dependent state estimation for delayed neural networks.时滞神经网络的时滞依赖状态估计
IEEE Trans Neural Netw. 2006 Jul;17(4):1077-1081. doi: 10.1109/TNN.2006.875969.
8
State estimation for delayed neural networks.时滞神经网络的状态估计
IEEE Trans Neural Netw. 2005 Jan;16(1):279-84. doi: 10.1109/TNN.2004.841813.