| 时滞系统控制问题块脉冲算子解的收敛性 |
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| 引用本文： | 王行愚.时滞系统控制问题块脉冲算子解的收敛性[J].自动化学报,1991,17(1):47-55. |
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| 作者姓名： | 王行愚 |
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| 作者单位： | 1.华东化工学院,上海 |
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| 摘 要： | 本文给出了一种基于块脉冲算子的离散逼近格式.应用这种逼近格式,可以获得时滞非
线性最优控制问题的块脉冲级数解.本文证明了这种块脉冲级数解将收敛于这类问题的精
确解,并具有一阶收敛速度.
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| 关 键 词： | 时滞系统 最优控制 收敛性 块脉冲算子 |
| 收稿时间： | 1989-6-3 |
The Convergence of Block Pulse Operator Solution to time Lag System Control Problem |
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| Wang Shienyu.The Convergence of Block Pulse Operator Solution to time Lag System Control Problem[J].Acta Automatica Sinica,1991,17(1):47-55. |
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| Authors: | Wang Shienyu |
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| Affiliation: | 1.East China University of Chemical Technology |
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| Abstract: | In this paper, a discrete approximation scheme based on block pulse operator is given. Using the approximation scheme, we can obtain a block pulse series solution (BPSS) of nonlinear optimal control problem with time-lag. The convergence of the BPSS to the exact solu tion of the problem is proved and first order convergence rate is established. |
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| Keywords: | Time lag system optimal control convergence block pulse operator |
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