| 线性时变离散系统稳定的充分条件 |
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| 引用本文： | 朱吉祥,李磊. 线性时变离散系统稳定的充分条件[J]. 陕西师范大学学报(自然科学版), 1988, 0(3) |
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| 作者姓名： | 朱吉祥 李磊 |
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| 作者单位： | 陕西师范大学，西安交通大学 |
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| 摘 要： | 以下均假定记号 X(·)表示 n 维列向量,A(·)表示 n 阶方阵.对于常系数线性离散差分方程 X(k+1)=AX(k)(1)而言,如果特征方程|A-μI|=0的根μ满足|μ|<1,则(1)的零解是渐近稳定的.
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THE SUFFICIENT CONDITION OF THE STABILITY FOR THE DISCRETE SYSTEM OF LINEAR TIME VARIABLE |
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| Zhu Jixiang. THE SUFFICIENT CONDITION OF THE STABILITY FOR THE DISCRETE SYSTEM OF LINEAR TIME VARIABLE[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1988, 0(3) |
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| Authors: | Zhu Jixiang |
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| Affiliation: | Zhu Jixiang (Shaanxi Normal University) Li Lei (Xian Jiaotong university) |
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| Abstract: | in this paper a sufficient condition of the stability for the discrete system of linear time variable is given.This sufficient condition can be weakened in some particular matrices,and a mere practical result is obtained. |
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| Keywords: | discrete system of linear time variable stability Matrix sequence cycle matrix |
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