| 非线性广义系统平衡点的定性分析 |
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| 引用本文： | 邱卫根,刘永清.非线性广义系统平衡点的定性分析[J].应用数学,1998,11(4):90-94. |
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| 作者姓名： | 邱卫根 刘永清 |
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| 作者单位： | 华南理工大学自动化系!广州，510641，华南理工大学自动化系!广州，510641 |
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| 摘 要： | 本文研究非线性广义系统平衡点的定性行为．利用系统的正则性，证明了可以通过其线性系统的定性行为研究非线性系统的定性性态，为定性研究非线性系统提供了一种方法．
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| 关 键 词： | 广义系统 平衡点 向量场 线性化 |
On the Qualitative Analysis of the Equilibrium of Nonlinear Generalized System |
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| Qiu Weigen,Liu Yongqing.On the Qualitative Analysis of the Equilibrium of Nonlinear Generalized System[J].Mathematica Applicata,1998,11(4):90-94. |
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| Authors: | Qiu Weigen Liu Yongqing |
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| Institution: | Automation Dept. South China University of Technology Guangzhou 510641 |
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| Abstract: | This paper has proved that locally around the isolated equilibrium the linearization of the vector field of the nonlinear generalized system is just the vector field of the linearization system of the orignal nonlinear generalized system, by this we give a way for the investigation of the qualitative behavior of the systems. |
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| Keywords: | Generalized system Equilibrium Vector Field Linearization |
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