| 用谐波线性化法研究非线性系统的稳定性 |
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| 引用本文： | 张振东. 用谐波线性化法研究非线性系统的稳定性[J]. 河北工业大学学报, 1993, 0(1) |
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| 作者姓名： | 张振东 |
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| 作者单位： | 河北工学院电气工程系 |
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| 摘 要： | 一切系统都是非线性系统,直接研究非线性系统是困难的,通常采用近似方法。谐波线性化方法是近似方法之一。本文用该方法研究了非线性系统的稳定性问题,给出了关于单变量非线性系统稳定性的一般性结论和在对角优势条件下的多变量非线性系统稳定性的结论及图解判据。
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| 关 键 词： | 描述函数 渐近稳定性 对角优势 盖氏带 全局渐近稳定 定范围渐近稳定 |
On the Research of Stability of Nonlinear System by Harmonic Linearization Method |
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| Zhang Zhendong. On the Research of Stability of Nonlinear System by Harmonic Linearization Method[J]. Journal of Hebei University of Technology, 1993, 0(1) |
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| Authors: | Zhang Zhendong |
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| Affiliation: | Zhang Zhendong |
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| Abstract: | Because all system is nonlinear, it is difficult to study the nonlinear system directly. Therefore an approximate method is used instead. The harmonic linearization method is one of the approximate methods to study it. In this paper the stability problem of nonlinear system is studied by the harmonic linearization method. Both of the general conclusion of mono-variable nonlin-ear system stability and the conclusion of multivariable one under diagonal dominant condition are given besides with the graphical criterion. |
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| Keywords: | Nonlinear cotrol System Harmonic Linearization method |
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