| n维非线性系统稳定性若干定理的推广 |
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| 引用本文： | 付华,秦宏立,周居政.n维非线性系统稳定性若干定理的推广[J].延安大学学报(自然科学版),2011,30(4):6-8. |
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| 作者姓名： | 付华 秦宏立 周居政 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 摘 要： | 利用Gronwall-Bellman不等式,对Lyapunov函数的限制条件作了适当的改进,得到了n维非线性系统平凡解稳定性的若干定理,从而推广了相应文献的已有结果。
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| 关 键 词： | Lyapunov函数 稳定性 渐进稳定性 一致稳定性 |
The Generalization of Theorems about Stability of n-dimensiond Norlinear Systems |
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| FU Hua,QIN Hong-li,ZHOU Ju-zheng.The Generalization of Theorems about Stability of n-dimensiond Norlinear Systems[J].Journal of Yan'an University(Natural Science Edition),2011,30(4):6-8. |
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| Authors: | FU Hua QIN Hong-li ZHOU Ju-zheng |
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| Institution: | FU Hua,QIN Hong-li,ZHOU Ju-zheng(College of Mathematics and Computer Science,Yan an University,Yan an 716000 Shanxi) |
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| Abstract: | By using the Gronwall-Bellman inequality the limiting conditions of the lyapunov function were improved.Some theorems about the stability for the trivial solution of the n-dimensional and nonlinear systems were obtained,and several decision theorems of the related literatures were extended. |
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| Keywords: | Lyapunuov functions stability gradual stability uniform stability |
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