| 引用本文: | 许茂增.用方块脉冲函数求解非线性系统的进一步结果[J].控制理论与应用,1988,5(1):63~71.[点击复制] |
| Xu Maozeng.Further Results of Solving Nonlinear Systems Via Block-pulse Functions[J].Control Theory and Technology,1988,5(1):63~71.[点击复制] |
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| 用方块脉冲函数求解非线性系统的进一步结果 |
| Further Results of Solving Nonlinear Systems Via Block-pulse Functions |
| 摘要点击 1013 全文点击 467 投稿时间：1987-02-25 修订日期：1987-10-04 |
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| DOI编号 |
| 1988,5(1):63-71 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文在已有文献基础上通过分段线性化处理，得到了用方块脉冲函数求解非线性系统的显示递推算法，讨论了其它几种可能的线性化途径，分析了所给算法的收敛性。与文献已有算法相比，本文给出的算法可直接用计算机来求解，便于应用。但收敛性分析表明，截断误差由二阶降为一阶。最后给出了算例，结果是令人满意的。 |
| 英文摘要 |
| Based on the results given in literature [1], an improved recursive algorithm of solving nonlinear systems via block-pulse functions, which is obtained by utilizing the piecewise linearization, is presented and its convergency analysed. Other possible ways of linearizing are also discussed, which shows the advantages of the linearizing way used in the improved algorithm. In comparision with the algorithm given in the literature, the improved on is more convenient for use on a computer and requires less computations, all of which is shown by an illustrative example with satisfactory results. |
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