| 基于微分同胚的非线性系统解耦线性化 |
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| 引用本文： | 严星刚 林辉. 基于微分同胚的非线性系统解耦线性化[J]. 纯粹数学与应用数学, 1998, 14(3): 93-98 |
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| 作者姓名： | 严星刚 林辉 |
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| 作者单位： | 西北工业大学自动控制系 |
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| 摘 要： | 利用现代微分几何方法研究了非线性系统，通过构造适当的微分同胚，给出了非线性系统解耦线性化的充分必要条件。最后，用数值例子说明了本文所得的结论。
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| 关 键 词： | 非线性系统 微分同胚 线性化 解耦 微分流形 |
LINEARIZATION AND SIMULTANEOUS DECOUPLING FOR NONLINEAR SYSTEM BASED ON DIFFEOMORPHISM |
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| Yan Xinggang Lin Hui Dai Guangzhong. LINEARIZATION AND SIMULTANEOUS DECOUPLING FOR NONLINEAR SYSTEM BASED ON DIFFEOMORPHISM[J]. Pure and Applied Mathematics, 1998, 14(3): 93-98 |
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| Authors: | Yan Xinggang Lin Hui Dai Guangzhong |
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| Abstract: | In this paper, by using mordern geometric method, a necessary and sufficient condition is shown to guarantee the linearization and simultaneous decoupling for nonlinear systems by choosing an appropriate diffeomorphism. Finally, a numerical example is given to illustrate our conclusion. |
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| Keywords: | nonlinear system diffeomorphism linearization decoupling |
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