Adaptive Variable Parameter ZNN for Solving Time-varying Linear Matrix Equation

机译：用于求解时变线性矩阵方程的自适应变量参数ZnN

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An adaptive fuzzy variable parametric zeroing neural network (AFV-ZNN) model is proposed to solve time-varying linear matrix equation. Distinguishing from varying-gain recurrent neural network models and other zeroing neural network models, the fuzzy design parameter of AFV-ZNN is adaptive as based on the residual matrix. The model adopts three different activation functions to achieve a faster convergence rate. The theoretical analysis and examples illustrate the faster convergence of the ATV-ZNN model, and the better performance of activation functions, compared with existing neural networks in simulation experiments.

机译：提出了一种自适应模糊可变参数归零神经网络（AFV-ZNN）模型来解决时变线性矩阵方程。区分从变化的经常性神经网络模型和其他归零神经网络模型，AFV-ZNN的模糊设计参数是基于残余矩阵的自适应。该模型采用三种不同的激活功能来实现更快的收敛速度。与现有的仿真实验中的现有神经网络相比，理论分析和实施例说明了ATV-ZNN模型的更快收敛性，以及激活功能的性能更好。

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《Youth Academic Annual Conference of Chinese Association of Automation》|2021年|115-120|共6页
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Yuanmeng Chen; Jianhua Dai; Xing Yang; Lin Xiao;
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Adaptation models; Analytical models; Adaptive systems; Recurrent neural networks; Automation; Buildings; Mathematical model;

机译：适应模型;分析模型;自适应系统;经常性神经网络;自动化;建筑物;数学模型;

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专利

1. A nonlinear and noise-tolerant ZNN model solving for time-varying linear matrix equation [J] . Li Xiaoxiao, Yu Jiguo, Li Shuai, Neurocomputing . 2018,第NOVa23期

机译：时变线性矩阵方程的非线性容忍ZNN模型求解
2. Design and analysis of three nonlinearly activated ZNN models for solving time-varying linear matrix inequalities in finite time [J] . Zeng Yuejie, Xiao Lin, Li Kenli, Neurocomputing . 2020,第May21期

机译：三种非线性激活ZNN模型的设计与分析，用于求解有限时间的时变线性矩阵不等式
3. Different Zhang functions resulting in different ZNN models demonstrated via time-varying linear matrix-vector inequalities solving [J] . Lin Xiao, Yunong Zhang Neurocomputing . 2013,第deca9期

机译：通过时变线性矩阵-向量不等式求解证明了不同的Zhang函数导致不同的ZNN模型
4. Different Zhang functions leading to various ZNN models illustrated via solving the time-varying overdetermined system of linear equations [C] . Zhang Yunong, Li Weibing, Guo Dongsheng, International Conference for Internet Technology and Secured Transactions . 2013

机译：通过求解时变的超定线性方程组，不同的Zhang函数导致了各种ZNN模型
5. Distributed sparse matrix solver and pivoting algorithms for large linear equations. [D] . Torres, Esteban. 2013

机译：大型线性方程组的分布式稀疏矩阵求解器和枢轴算法。
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. Finite-Time Convergence and Robustness Analysis of Two Nonlinear Activated ZNN Models for Time-Varying Linear Matrix Equations [O] . Lin Xiao, Lei Jia, Yongsheng Zhang, 2019

机译：两个非线性激活ZnN模型的有限时间收敛性和鲁棒性分析，用于时变线性矩阵方程

Adaptive Variable Parameter ZNN for Solving Time-varying Linear Matrix Equation

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