| n阶线性时变系统的渐近稳定性 |
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| 引用本文： | 康永海. n阶线性时变系统的渐近稳定性[J]. 吉林大学学报(理学版), 1998, 0(2) |
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| 作者姓名： | 康永海 |
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| 作者单位： | 四平师范学院数学系!四平，136000 |
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| 摘 要： | 通过构造向量Liapunov函数，建立了保证n阶线性时变系统dx／dt=A（t）x零解渐近稳定的充分条件．
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| 关 键 词： | 线性时变系统 向量Liapunov函数 稳定性 |
The Asymptotic Stability of Linear Nonautonomous Systems of n Dimensions |
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| Kang Yonghai. The Asymptotic Stability of Linear Nonautonomous Systems of n Dimensions[J]. Journal of Jilin University: Sci Ed, 1998, 0(2) |
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| Authors: | Kang Yonghai |
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| Abstract: | The present paper extablishts the sufficient conditions of guaranteeing the asymptotic stability of the zero solution x(t) = 0 of linear time-dependent system of n first-order differential equation dx/dt = A(t)x by constructing a vector liapunov function for the system. |
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| Keywords: | linear time-dependent system vector Liapunov function stability |
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