| 二维离散系统稳定性的复系数列表检验法 |
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| 引用本文： | 肖扬.二维离散系统稳定性的复系数列表检验法[J].北京交通大学学报(自然科学版),1994(2). |
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| 作者姓名： | 肖扬 |
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| 作者单位： | 北方交通大学信息科学研究所 |
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| 摘 要： | 提出了新的二维离散系统的稳定性检验定理。与现有的二维离散系统的代数检验法不同，本方法是直接对复变量系数列表，然后利用提出的检验定理进行稳定性检验，不需要在整个ｘ∈［－１，１］的实数域进行逐点检验，并且无有理多项式出现，因而检验过程大为简化，计算量大为减少，只须进行有限次运算，即可确定二维离散系统的稳定性。
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| 关 键 词： | 数字滤波器 系统理论 有界输入输出稳定性／二维离散系统 稳定性检验理论 |
Complex Coefficients Table Test for Stability of Two-Dimensional Discrete Systems |
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| Xiao Yang.Complex Coefficients Table Test for Stability of Two-Dimensional Discrete Systems[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1994(2). |
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| Authors: | Xiao Yang |
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| Abstract: | New stability test theorern is proposed in the paper.Different from the algebraic methods,the approach of the paper is to list table for complex variable coefficients directly,then to test stability for a Z-D discrete system with the theorem of the paper.The test procedure is greatly simplified,and reduces the computations,for it needs not to test all x in real domain -1,]point by point and will not meet the rational polynomials.The stability of 2-D discrete system can be determined by finite computations. |
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| Keywords: | ss:digital filters system theory BIBO stability/two-dimensional discrete systems stability test theorem |
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