| 利用GRONWAL 定理确定非线性电路平衡点全局渐近稳定性 |
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| 引用本文： | 何月顺,冯平.利用GRONWAL 定理确定非线性电路平衡点全局渐近稳定性[J].华东地质学院学报,2002,25(2):167-170. |
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| 作者姓名： | 何月顺 冯平 |
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| 作者单位： | [1]华东地质学院信息工种系，江西抚州344000 [2]解放军后勤工程学院电工教研室，重庆400016 |
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| 摘 要： | 提出了一种新 扮析非线性电路平衡点全局渐进稳定的方法。这种方法以GRONWALL定理为基础，结合平衡点的渐进稳定判断依据，决定平衡点的全局渐近稳定性。与目前所采用的LIYAPUNOV直接法相比，该法具有无须判断平衡点的唯一性，判别方程直接明了等优点。同时，该法对于其他形式的非线性系统的分析，也有重要的启发性及应用价值。
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| 关 键 词： | 非线性电路 唯一稳定 平衡点 |
| 文章编号： | 1000-2251(2002)02-167-04 |
| 修稿时间： | 2001年12月5日 |
Study on the Global Aymptotic Stability of the Equilibrium Point of Nonlinear Circuits by Gronwall Lemma |
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| HE Yue\|shun\,FENG Ping\.Study on the Global Aymptotic Stability of the Equilibrium Point of Nonlinear Circuits by Gronwall Lemma[J].Journal of East China Geological Institute,2002,25(2):167-170. |
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| Authors: | HE Yue\|shun\ FENG Ping\ |
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| Institution: | HE Yue\|shun\+1,FENG Ping\+2 |
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| Abstract: | In this paper,based on Gronwall lemma,a new method to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is advanced.The conditions for the global asymptotic stability of the equilibrium point are expressed as the inequalities of the some matrixes norms and measures including the coefficient.By the method in this paper,to decide the global asymptotic stability of the equilibrium point ,it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.And the requirements in the conditions for the circuit elements are only their slopes be bounded,which are much loose than those in previously published papers.so the work of this paper is an extension for the classical results already kmown. |
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| Keywords: | Global asymptotic stability Equilibrium point Nonlinear circuit Matrix analysis Gronwall lemma |
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