| 三阶变系数线性微分系统的二维向量Liapunov函数 |
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| 引用本文： | 王永茂. 三阶变系数线性微分系统的二维向量Liapunov函数[J]. 燕山大学学报, 1999, 23(4): 320-323 |
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| 作者姓名： | 王永茂 |
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| 作者单位： | 燕山大学数理系!秦皇岛０６６００４ |
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| 摘 要： | 在Ａ（ｔ）为三阶可微函数矩阵时，通过构造二维Ｌｉａｐｕｎｏｖ函数，给出了保证变系数线性系统＾．ｘ＝Ａ（ｔ）ｘ平凡解渐近稳定的判定准则。本文放弃了Ａ（ｔ）的特征值均有负实部的要求。
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| 关 键 词： | 变系数线性系统 Liapunov函数 稳定 |
Two-Dimensional Vector Liapunov Function of Linear Tinear-Dependent System of 3 First-Order Differential Eguations |
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| Wang Yongmao. Two-Dimensional Vector Liapunov Function of Linear Tinear-Dependent System of 3 First-Order Differential Eguations[J]. Journal of Yanshan University, 1999, 23(4): 320-323 |
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| Authors: | Wang Yongmao |
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| Abstract: | in this paper by constructing 2-dimensional Vector Liapunov function. We establish a criterion that can guarantee the stability of system xI =A(t)x, where A (t) is a 3x3 differential matrix.It is not indispensable in the paper that all eigenvalue of matrix A (t)have negative real parts. |
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| Keywords: | linear time-dependent system vector Liapunov functions stability. |
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