摘要
连续分布时滞系统是一类应用广泛的系统,求解这类系统的优化问题具有普遍的意义.本文提出了一种求解该优化问题的沃尔什变换算法.其思路是:把控制函数和状态函数展开成有限沃尔什级数,将系统状态方程的具有双重伏特拉积分形式的解转化为序率域中的代数矩阵形式的解,而求泛函极值就随即变成了求函数极值。根据沃尔什变换的理论,可知这样处理后得到的结果是连续时间情形的一个很好近似.
Continuously distributed time-lags systems CDTLS are widely found in socioeconomic activities and engi-neering practice.This paper presents a new method of solving optimal control problem of CDTLS by Walsh trans-formation.The approach is:First expand the input and state functions into limited Walsh series and transfer the solution of its state equation,which is in the form of double Volterra integral,into the form of algebraic matrix op-erations in the sequence domain.Then the problem of solving functional extremum is simplified into that of solvingfunction extremum.The Walsh transformation theory ensures that our result must be a good approximation of theaccurate solution.
出处
《信息与控制》
CSCD
北大核心
1990年第5期10-17,9,共9页
Information and Control
关键词
连续分布时滞
沃尔什变换
优化
distributed time-lags
Walsh transformation
optimization
