Abstract: In this paper a set of finite recursive algarithms are set up in terms of thoughts of system identification to expose characteristic polynomials of discretetime linear multivariable systems with multistep lags.Based on these algorithms fastalgorithms for testing the stability of the systems under study are given.Illustrative examples are also given.It is shown that the obtained algorithms not noly have excellent properties in computation and programming,but also allow treating continuous-time linear systems without time delays and discrete-time linear systems with one or more step lags in a unified way.

Key words: multistep lags, discrete-time linear multivariable systems, characteristic poly nomials, finite recursive exposing algorithms, Jury's stability test, fast stability-test algorithms

摘要： 本文根据系统辨识的思想,建立了具有多步滞后的多变量离散线性系统特征多项式的有限递推显化算法,在此基础上,给出了判定系统稳定性的快速判定算法。该算法不仅数值计算性能好,结构简单,易于程序化,而且可以把无滞后连续线性系统与一步和多步滞后离散线性系统进行统一处理。

关键词: 多步滞后, 多变量离散线性系统, 特征多项式, 有限递推显化算法, Jury判据, 稳定性判定算法