Analog Computing for Real-Time Solution of Time-Varying Linear Equations

机译：时变线性方程组实时解的模拟计算

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摘要

An implicit recurrent neural network model (IRNN) is proposed in this paper for solving on-line time-varying linear equations. Such a neural network can be implemented as analog circuits or VLSI. Excellent convergent properties have been revealed by careful theoretical analysis. In the specific case where the linear equation is obtained from a time-varying Sylvester equation, the proposed IRNN model coincides with some existing recurrent neural networks reported in recent literature, where simulation examples have been reported to demonstrate the effectiveness and efficiency.

机译：提出了一种隐式递归神经网络模型（IRNN），用于求解在线时变线性方程组。这样的神经网络可以被实现为模拟电路或VLSI。仔细的理论分析显示出了出色的收敛性。在从时变Sylvester方程获得线性方程的特定情况下，所提出的IRNN模型与最近文献中报道的一些现有的递归神经网络相吻合，其中已报道了仿真示例以证明其有效性和效率。

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来源
《2004 International Conference on Communications, Circuits and Systems vol.2: Signal Proceesing, Circuits and Systems》|2004年|P.1367-1371|共5页
会议地点 Chengdu(CN)
作者
Danchi Jiang;
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National ICT Australia Limited Locked Bag 8001 Canberra ACT 2601 Australia;

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implicit recurrent neural network; real-time computation; time-varying linear equations; sylvester equation;

机译：隐式递归神经网络实时计算时变线性方程西尔维斯特方程;

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专利

1. Intelligent computing for real-time solution of time-varying linear equations [J] . Danchi Jiang International Journal of Intelligent Systems Technologies and Applications . 2007,第3a4期

机译：时变线性方程组实时解的智能计算
2. Nonlinear recurrent neural networks for finite-time solution of general time-varying linear matrix equations [J] . Xiao Lin, Liao Bolin, Li Shuai, Neural Networks: The Official Journal of the International Neural Network Society . 2018,第期

机译：一般时变线矩阵方程有限时间解的非线性复发性神经网络
3. Two neural dynamics approaches for computing system of time-varying nonlinear equations [J] . Xiao Xiuchun, Fu Dongyang, Wang Guancheng, Neurocomputing . 2020,第Juna21期

机译：两变电非线性方程计算系统的两个神经动力学方法
4. Analog computing for real-time solution of time-varying linear equations [C] . Danchi Jiang . 2004

机译：时变线性方程组实时求解的模拟计算
5. Comparison of square and hexagonal pixels for image processing and alternative solutions to linear equations for computed tomography. [D] . Tirunelveli, Girish Ganesamanian. 2003

机译：比较用于图像处理的正方形和六角形像素以及用于计算机断层扫描的线性方程的替代解决方案。
6. Penalized Nonlinear Least Squares Estimation of Time-Varying Parameters in Ordinary Differential Equations [O] . Jiguo Cao, Jianhua Z. Huang, Hulin Wu -1

机译：常微分方程中时变参数的惩罚非线性最小二乘估计
7. Polynomial Time Corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length: The General Purpose Analog Computer and Computable Analysis Are Two Efficiently Equivalent Models of Computations [O] . Bournez Olivier, Graça Daniel S., Pouly Amaury 2016

机译：多项式时间对应于多项式长项的多项式常微分方程的解：通用模拟计算机和可计算分析是两个有效等效的计算模型
8. Study of the Relevance of Simple Solutions to Nonlinear Rate Equations with Time-Varying Coefficients [R] . Wilhelmsson, H., Jancel, R. 1983

机译：具有时变系数的非线性速率方程简单解的相关性研究

Analog Computing for Real-Time Solution of Time-Varying Linear Equations

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