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

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