| 用一般辅助函数判定渐近稳定性 |
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| 引用本文： | 张宗达,程普新.用一般辅助函数判定渐近稳定性[J].哈尔滨建筑大学学报,1992(1). |
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| 作者姓名： | 张宗达 程普新 |
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| 作者单位： | 哈尔滨工业大学
(张宗达)，哈尔滨建筑工程学院(程普新) |
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| 摘 要： | 本文给出了用一般辅助函数判定常微分方程稳定性的方法,它是李雅普诺夫直接方法的推广,用辅助函数对方程作宏观控制。
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| 关 键 词： | 渐近稳定性 微分方程 |
Determining Asymptotic Stability with a General Auxiliary Function |
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| Zhang Zongda Cheng Puxin.Determining Asymptotic Stability with a General Auxiliary Function[J].Journal of Harbin University of Civil Engineering and Architecture,1992(1). |
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| Authors: | Zhang Zongda Cheng Puxin |
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| Affiliation: | Zhang Zongda Cheng Puxin |
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| Abstract: | This paper gives a method to determine the asymptotic stability for ordinary differential equations with a general auxiliary function. It extends Liaptmov's direct method by using the auxiliary function to control macroscopically the solutions of the system. |
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| Keywords: | asymptotic stability differential equations |
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