具有时变延迟的延迟神经网络的指数稳定性分析
An analysis of exponential stability of delayed neural networks with time varying delays.
作者信息
Arik Sabri
机构信息
Department of Computer Engineering, Istanbul University, 34320 Avcilar, Istanbul, Turkey.
出版信息
Neural Netw. 2004 Sep;17(7):1027-31. doi: 10.1016/j.neunet.2004.02.001.
PMID:15312844
Abstract
This paper derives a new sufficient condition for the exponential stability of the equilibrium point for delayed neural networks with time varying delays by employing a Lyapunov-Krasovskii functional and using Linear Matrix Inequality (LMI) approach. This result establishes a relation between the delay time and the parameters of the network. The result is also compared with the most recent result derived in the literature.
摘要
本文通过使用Lyapunov-Krasovskii泛函并采用线性矩阵不等式（LMI）方法，推导了具有时变延迟的神经网络平衡点指数稳定性的一个新的充分条件。该结果建立了延迟时间与网络参数之间的关系。还将该结果与文献中最近得到的结果进行了比较。
相似文献
1
An analysis of exponential stability of delayed neural networks with time varying delays.具有时变延迟的延迟神经网络的指数稳定性分析
Neural Netw. 2004 Sep;17(7):1027-31. doi: 10.1016/j.neunet.2004.02.001.
2
Global exponential stability of generalized recurrent neural networks with discrete and distributed delays.具有离散和分布时滞的广义递归神经网络的全局指数稳定性
Neural Netw. 2006 Jun;19(5):667-75. doi: 10.1016/j.neunet.2005.03.015. Epub 2005 Jul 20.
3
Asymptotic stability for neural networks with mixed time-delays: the discrete-time case.具有混合时滞神经网络的渐近稳定性：离散时间情形
Neural Netw. 2009 Jan;22(1):67-74. doi: 10.1016/j.neunet.2008.10.001. Epub 2008 Oct 18.
4
A new approach to exponential stability analysis of neural networks with time-varying delays.一种用于具有时变延迟的神经网络指数稳定性分析的新方法。
Neural Netw. 2006 Jan;19(1):76-83. doi: 10.1016/j.neunet.2005.05.005. Epub 2005 Sep 8.
5
Exponential stability of stochastic neural networks with both markovian jump parameters and mixed time delays.具有马尔可夫跳跃参数和混合时滞的随机神经网络的指数稳定性。
IEEE Trans Syst Man Cybern B Cybern. 2011 Apr;41(2):341-53. doi: 10.1109/TSMCB.2010.2053354. Epub 2010 Jul 23.
6
Exponential stability analysis for neural networks with time-varying delay.具有时变延迟的神经网络的指数稳定性分析
IEEE Trans Syst Man Cybern B Cybern. 2008 Aug;38(4):1152-6. doi: 10.1109/TSMCB.2008.915652.
7
Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays.具有Lipschitz连续激活函数和时滞的递归神经网络的绝对指数稳定性
Neural Netw. 2004 Apr;17(3):379-90. doi: 10.1016/j.neunet.2003.08.007.
8
Stability analysis of static recurrent neural networks using delay-partitioning and projection.基于延迟划分和投影的静态递归神经网络稳定性分析
Neural Netw. 2009 May;22(4):343-7. doi: 10.1016/j.neunet.2009.03.005. Epub 2009 Mar 24.
9
An LMI approach to global asymptotic stability of the delayed Cohen-Grossberg neural network via nonsmooth analysis.一种基于非光滑分析的时滞Cohen-Grossberg神经网络全局渐近稳定性的线性矩阵不等式方法。
Neural Netw. 2007 Sep;20(7):810-8. doi: 10.1016/j.neunet.2007.07.004. Epub 2007 Jul 24.
10
Robust stability of stochastic delayed additive neural networks with Markovian switching.具有马尔可夫切换的随机时滞加法神经网络的鲁棒稳定性
Neural Netw. 2007 Sep;20(7):799-809. doi: 10.1016/j.neunet.2007.07.003. Epub 2007 Jul 22.
引用本文的文献
1
New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method.具有泄漏延迟和脉冲的神经网络的新稳定性准则：一种分段延迟方法。
Cogn Neurodyn. 2016 Feb;10(1):85-98. doi: 10.1007/s11571-015-9356-y. Epub 2015 Sep 29.
Zotero 插件