二维离散系统稳定性的复系数列表检验法

Complex Coefficients Table Test for Stability of Two-Dimensional Discrete Systems

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。

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.