| 连续分布时滞系统优化问题的沃尔什变换算法 |
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| 引用本文： | 王浣尘,张春曙.连续分布时滞系统优化问题的沃尔什变换算法[J].信息与控制,1990,19(5):10-17,9. |
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| 作者姓名： | 王浣尘 张春曙 |
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| 作者单位： | 上海交通大学系统工程研究所
(王浣尘)，上海交通大学系统工程研究所(张春曙) |
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| 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.
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| 关 键 词： | 连续分布时滞 沃尔什变换 优化 |
A WALSH TRANSFORMATION ALGORITHM FOR OPTIMIZATION PROBLEMS OF CONTINUOUSLY DISTRIBUTED TIME-LAGS SYSTEMS |
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| WANG Huanchen ZHANG Chunshu.A WALSH TRANSFORMATION ALGORITHM FOR OPTIMIZATION PROBLEMS OF CONTINUOUSLY DISTRIBUTED TIME-LAGS SYSTEMS[J].Information and Control,1990,19(5):10-17,9. |
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| Authors: | WANG Huanchen ZHANG Chunshu |
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| Abstract: | 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. |
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| Keywords: | distributed time-lags Walsh transformation optimization |
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