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An Improved Recurrent Neural Network for Complex-Valued Systems of Linear Equation and Its Application to Robotic Motion Tracking

机译:线性方程复数值系统的改进递归神经网络及其在机器人运动跟踪中的应用

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摘要

To obtain the online solution of complex-valued systems of linear equation in complex domain with higher precision and higher convergence rate, a new neural network based on Zhang neural network (ZNN) is investigated in this paper. First, this new neural network for complex-valued systems of linear equation in complex domain is proposed and theoretically proved to be convergent within finite time. Then, the illustrative results show that the new neural network model has the higher precision and the higher convergence rate, as compared with the gradient neural network (GNN) model and the ZNN model. Finally, the application for controlling the robot using the proposed method for the complex-valued systems of linear equation is realized, and the simulation results verify the effectiveness and superiorness of the new neural network for the complex-valued systems of linear equation.
机译:为了以更高的精度和更高的收敛性获得复杂域线性方程组的多值系统的在线解,本文研究了一种基于张神经网络(ZNN)的新型神经网络。首先,提出了一种新的神经网络,用于复杂域线性方程组的复值系统,并在理论上证明了它在有限时间内收敛。然后,说明性结果表明,与梯度神经网络模型和ZNN模型相比,新的神经网络模型具有更高的精度和更高的收敛速度。最后,实现了该方法在线性方程组复数值系统控制机器人中的应用,仿真结果验证了新型神经网络在线性方程组复数值系统中的有效性和优越性。

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