| 利用强结构扰动理论确定非线性电路平衡点全局渐近稳定 |
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| 引用本文： | 姚毅,冯平,傅成华.利用强结构扰动理论确定非线性电路平衡点全局渐近稳定[J].四川理工学院学报(自然科学版),2002,15(1):1-4. |
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| 作者姓名： | 姚毅 冯平 傅成华 |
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| 作者单位： | 1. 四川轻化工学院电子与信息工程系,自贡,643033
2. 解放军后勤工程学院电工教研室,重庆,400016 |
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| 摘 要： | 提出一种新的分析非线性电路平衡点全局渐近稳定的方法。该方法以强结构扰动理论为基础,结合平衡点的渐进稳定判据,决定平衡点的全局渐进稳定性。与目前该问题所采用的LIYAPUNOV直接法相比,该方法无须判断平衡点的唯一性。
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| 关 键 词： | 非线性电路 强结构扰动 唯一稳态 平衡点 |
| 文章编号： | 1008-438(2002)01-0001-04 |
| 修稿时间： | 2002年1月15日 |
Study of the Global Aymptotic Stability of the Equilibrium Point of Nonlinear Circuits by Strongly Structure Turbluence Theory |
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| YAO Yi,FENG Ping,FU Cheng-hua.Study of the Global Aymptotic Stability of the Equilibrium Point of Nonlinear Circuits by Strongly Structure Turbluence Theory[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2002,15(1):1-4. |
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| Authors: | YAO Yi FENG Ping FU Cheng-hua |
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| Institution: | YAO Yi1,FENG Ping2,FU Cheng-hua1 |
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| Abstract: | Based on strongly structure turbulence theory, a new method to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is advanced. By the method in the 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 to be bounded, which are more loose than those in previously published papers. So the work of this paper is an extension for the classical results already known. |
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| Keywords: | nonlinear circuit strongly structure turbulence global asymptotic stability equilibrium point |
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