| 非线性电路平衡点全局渐近稳定的充分必要条件 |
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| 引用本文： | 冯平.非线性电路平衡点全局渐近稳定的充分必要条件[J].山东科技大学学报(自然科学版),2001,20(3):61-64. |
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| 作者姓名： | 冯平 |
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| 作者单位： | 解放军后勤工程学院自动化工程系 |
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| 摘 要： | 利用向量比较原理，第一次得到了确定非线性电路平衡点全局渐近稳定的充分必要条件。研究结果表明，非线性电路平衡点全局渐近稳定充分必要条件，可以用一个常数矩阵的HURWITZ条件来决定。本文的结论比已有的经典结果，参数边界更精密，适用范围更广。
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| 关 键 词： | 非线性电路 唯一稳态 平衡点 向量比较原理 全局渐近稳定 充要条件 |
| 文章编号： | 1000-2308(2001)03-0061-04 |
| 修稿时间： | 2000年10月26 |
The Sufficient and Necessary Conditions for the Global Asymptotic Stability of the Equilibrium Point in Nonlinear Circuits |
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| FENG Ping.The Sufficient and Necessary Conditions for the Global Asymptotic Stability of the Equilibrium Point in Nonlinear Circuits[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,2001,20(3):61-64. |
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| Authors: | FENG Ping |
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| Abstract: | The sufficient and necesary conditions for the global asymptotic stability of the equilibrium point of the nonlinear circuit is obtained by using vector comparison method. The sufficient and necessary conditions for the circuits are expressed as the Hurwitz conditions of a constant matrix and an set of simple algebraic inequalities. The conclusion obtained in this paper is applicable in wider range comparing with the classical one and its parameter boundary is more precise. |
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| Keywords: | nonlinear circuit unique stability state equilibrium point |
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