离散系统稳定性快速判别

A Kind of Fast Approach for Testing the Stability in the Discrete System

提出了一种不需要求出离散系统的极点位置，便能迅速准确判别系统稳定性的检验方法。根据留数理论推导出简便的系统稳定性判别算法程序，并结合具体例题，验证了该算法的正确性。

An ordinary method to test the stability in the discrete system is to finding the pole positions of the transfer function, H(Z) .If any pole is on or outside the unit circle,the system is unstable.In practice,finding the position of the poles may not be an easy task.We propose in this contribution an accurate fast approach of testing for the stability without finding the pole position of the transfer function H(Z) .