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细胞神经网络是一个大规模非线性系统,具有高速并行计算且易于硬件实现等特点,已被广泛应用于模式识别,图像处理等领域。本文基于时滞方程和反馈控制,对离散反馈型细胞神经网络进行设计,给出了满足相应功能的模板及其动力学分析,提出了一类离散反馈型时滞细胞神经网络,并借助模拟平台Matlab 7.0对基础的随机布朗运动进行了初步的数值模拟,数值模拟结果充分显示了布朗运动的随机性,证实了理论分析的有效性。该模型经过一定时间后能对粒子的随机状态作出反馈,可用于模拟二维平面上的随机行走。
Cellular neural network is a large-scale nonlinear system with high-speed parallel computing and easy hardware implementation. It has been widely used in pattern recognition, image processing and other fields. In this paper, based on the delay equation and feedback control, the discrete feedback cellular neural network is designed, and the corresponding template and its dynamics analysis are given. A discrete feedback delayed cellular neural network is proposed. With the help of simulation platform Matlab 7.0 based on the initial random Brownian motion numerical simulation, numerical simulation results show the randomness of Brownian motion, confirmed the effectiveness of theoretical analysis. After a certain period of time, the model can feed back the random state of the particles and simulate the random walk on two-dimensional plane.