求解时变线性不等式离散算法的设计与分析

发布时间：2018-04-21 15:48

本文选题：线性不等式 + 时变　；参考：《华侨大学学报(自然科学版)》2017年05期

【摘要】：提出一种用于求解时变线性不等式的数值算法.通过引入一个时变向量(其每个元素都大于或等于零),将时变线性不等式转化为一个时变矩阵向量方程,并给出用于求解该方程的连续时间模型(即神经网络).采用欧拉差分公式将其离散化,推导得到相应的离散算法,并通过理论分析和数值实验验证该离散算法的有效性.结果表明:所提出的离散算法的稳态误差(SSRE)具有O(τ~2)的变化规律,当τ的数值减小10倍,算法的稳态误差可减小100倍.
[Abstract]:A numerical algorithm for solving time-varying linear inequalities is proposed. By introducing a time-varying vector (each element is greater than or equal to zero), the time-varying linear inequality is transformed into a time-varying matrix vector equation, and a continuous time model (i.e. neural network) is given to solve the equation. The Euler difference formula is used to discretize it and the corresponding discrete algorithm is derived. The validity of the algorithm is verified by theoretical analysis and numerical experiments. The results show that the steady-state error (SSRE) of the proposed discrete algorithm has the law of O (蟿 ~ 2). When 蟿 value is reduced by 10 times, the steady-state error of the algorithm can be reduced by 100 times.
【作者单位】：华侨大学信息科学与工程学院;
【基金】：国家自然科学基金资助项目(61603143) 福建省自然科学基金资助项目(2016J01307) 华侨大学中青年教师科技创新计划资助项目(ZQN-YX402);华侨大学高层次人才科研启动项目(15BS410)
【分类号】：O241

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