| 张量积模型变换方法在数学建模中的应用 |
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| 引用本文： | 赵国亮,黄沙日娜.张量积模型变换方法在数学建模中的应用[J].高师理科学刊,2014(1):86-88. |
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| 作者姓名： | 赵国亮 黄沙日娜 |
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| 作者单位： | 黑龙江科技大学理学院,黑龙江哈尔滨150022 |
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| 摘 要： | 探讨了张量积模型变换方法在数学建模课程中的应用．该方法利用高阶奇异值分解，把非线性系统转换为变权的时不变线性系统，建模精度取决于舍弃的奇异值个数．结合已有的模型求解方法，张量积模型变换方法适合作为一种新的建模方法引入到数学建模课程教学中．
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| 关 键 词： | 张量积模型变换 数学建模 倒立摆 非线性系统 |
Application of tensor product model transformation method in mathematical modeling |
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| Institution: | ZHAO Guo-liang, HUANG Sha-rina ( School of Science, Heilongjiang University of Science and Technology, Harbin 150022, China ) |
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| Abstract: | Application of tensor product model transformation method in mathematical modeling was studied. Tensor product model transformation can obtain the parameter varying weighted linear time-invariant system from nonlinear system via higher order singular value decomposition, and the modeling error is determined by the number of deserted singular values. Combining with many existing method, tensor product model transformation can be applied to the practice of mathematical modeling teaching as a novel method. |
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| Keywords: | Tensor product model transformation mathematical modeling inverted pendulum nonlinear system |
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