| 分段二次多项式函数及在线性时不变系统中的应用 |
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| 引用本文： | 王廷云. 分段二次多项式函数及在线性时不变系统中的应用[J]. 燕山大学学报, 1990, 0(3) |
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| 作者姓名： | 王廷云 |
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| 作者单位： | 东北重型机械学院计算机工程系 |
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| 摘 要： | 本文介绍一种新的多项式函数分段二次多项式函数,同时,阐述了两个相关的定理。针对线性时不变系统,推导了积分运算矩阵,并且应用这些运算矩阵把动态方程转变成一组线性代数方程。文中导出了时不变状态方程的一组递归算式,最后通过两个例子验证了这种方法的正确性。
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| 关 键 词： | 分段二次多项式函数 线性时不变系统 积分运算矩阵 递归算式 一致收敛 |
Piecewise Quadratic Polynomial Functions and Applications to Linear Time-Invariant Systems |
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| Wang Tingyun. Piecewise Quadratic Polynomial Functions and Applications to Linear Time-Invariant Systems[J]. Journal of Yanshan University, 1990, 0(3) |
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| Authors: | Wang Tingyun |
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| Affiliation: | Wang Tingyun |
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| Abstract: | This paper presentS a new polynomial function-piecewise quadratic polynomial function, and demonstrates two relative theorems With the treatment of linear time-invariant Systems, the integration operational matrices are developed. By applying these operationla matrices, the dynamic equations are transformed into aset of algebraic equations. A recursive algorithm is derived and this approach is verified to be right by two examples. |
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| Keywords: | piecewise quadratic polynomial functions linear timeinvarlant systems integration operational matrices: recursive algor ithm uniform convergence |
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