Global exponential convergence and stability of gradient-based neural network for online matrix inversion

Zhang YN; Shi YY; Chen K; Wang CL

首页> 外文期刊>Applied mathematics and computation >Global exponential convergence and stability of gradient-based neural network for online matrix inversion

【24h】

Global exponential convergence and stability of gradient-based neural network for online matrix inversion

机译：在线矩阵求逆的基于梯度神经网络的全局指数收敛和稳定性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Wang proposed a gradient-based neural network (GNN) to solve online matrix-inverses. Global asymptotical convergence was shown for such a neural network when applied to inverting nonsingular matrices. As compared to the previously-presented asymptotical convergence, this paper investigates more desirable properties of the gradient-based neural network; e. g., global exponential convergence for nonsingular matrix inversion, and global stability even for the singular-matrix case. Illustrative simulation results further demonstrate the theoretical analysis of gradient-based neural network for online matrix inversion.

机译：Wang提出了一种基于梯度的神经网络（GNN）来解决在线矩阵逆问题。当将这种神经网络应用于非奇异矩阵求逆时，显示出全局渐近收敛。与先前提出的渐近收敛相比，本文研究了基于梯度的神经网络的更理想的特性。 e。例如，用于非奇异矩阵求逆的全局指数收敛，甚至对于奇异矩阵情况也具有全局稳定性。说明性的仿真结果进一步证明了基于梯度的神经网络用于在线矩阵求逆的理论分析。

著录项

来源
《Applied mathematics and computation》 |2009年第3期|共6页
作者
Zhang YN; Shi YY; Chen K; Wang CL;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
Gradient-based neural network; Online matrix inversion; Lyapunov; stability theory; Asymptotical convergence; Global exponential; convergence;

机译：基于梯度的神经网络;在线矩阵求逆;Lyapunov;稳定性理论;渐近收敛;全局指数;收敛;

相似文献

外文文献
中文文献
专利

1. Global exponential convergence and stability of gradient-based neural network for online matrix inversion [J] . Zhang YN, Shi YY, Chen K, Applied mathematics and computation . 2009,第3期

机译：在线矩阵求逆的基于梯度神经网络的全局指数收敛和稳定性
2. Global exponential convergence and stability of Wang neural network for solving online linear equations [J] . Y. Zhang, K. Chen Electronicsletters . 2008,第4期

机译：王氏神经网络在线方程组的全局指数收敛性和稳定性
3. Global exponential stability for delayed cellular neural networks and estimate of exponential convergence rate [J] . Qiang Zhang, Runnian Ma, Jin Xu Systems Engineering and Electronics, Journal of . 2004,第3期

机译：时滞细胞神经网络的全局指数稳定性和指数收敛速度的估计
4. Globally Exponential Stability Analysis and Estimation of the Exponential Convergence Rate for Neural Networks with Multiple Time Varying Delays [C] . Huaguang Zhang, Zhanshan Wang International Conference on Advances in Natural Computation(ICNC 2005); 20050827-29; Changsha(CN) . 2005

机译：多时变时滞神经网络的全局指数稳定性分析和指数收敛速度估计
5. Application of artificial neural networks for online voltage stability monitoring and enhancement of an electric power system. [D] . Chakrabarti, Saikat. 2006

机译：人工神经网络在电力系统电压稳定在线监测和增强中的应用。
6. Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses [O] . Lijun Xu, Qi Jiang, Guodong Gu 2016

机译：具有分布时滞和脉冲的中立型Cohen-Grossberg分流抑制性细胞神经网络的概周期解的全局指数稳定性
7. Estimate of Exponential Convergence Rate and Exponential Stability for Neural Networks [O] . Zhang Yi, P.A. Heng, Ada W.C. Fu 1999

机译：神经网络的指数收敛速度和指数稳定性估计

Global exponential convergence and stability of gradient-based neural network for online matrix inversion

摘要

著录项

相似文献

相关主题

期刊订阅