| 稳定性理论中几个基本定理的推广 |
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| 引用本文： | 徐道义.稳定性理论中几个基本定理的推广[J].应用数学,1992,5(2):76-80. |
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| 作者姓名： | 徐道义 |
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| 作者单位： | 四川绵阳师范专科学校 621000 |
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| 摘 要： | 本文推广了经典的稳定性,有界性定理及关于渐近稳定的充分条件。去掉了原始定理中,函数的导数在其定义域内常负或定负的要求,并应用于集合稳定性判定.
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| 关 键 词： | 稳定性理论 李雅普诺夫方法 有界性 |
Generalization of Several Fundamental Theorems in the Theory of Stability |
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| Xu Daoyi.Generalization of Several Fundamental Theorems in the Theory of Stability[J].Mathematica Applicata,1992,5(2):76-80. |
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| Authors: | Xu Daoyi |
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| Abstract: | This paper improves several Standard theorems in Lyapunov theory for stability, asymptotic stabilty and boundedness. The obtained conditions allow the derivative V of Lyapunov functions to be positive on certain sets and can be applied to determining the stability of sets. |
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| Keywords: | Stability theory Lyapunov method Boundedness |
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