控制系统稳定性判别的矩阵范数分析法

A matrix norm analysis method of distinguishing control system's stability

介绍了自动控制系统稳定性判别的一种新的分析方法———基于矩阵范数的分析方法,在矩阵范数理论的基础上,讨论了离散系统稳定的充分必要条件,并结合算例进行了讨论分析,从而验证了方法的正确性.

In the paper,a new method is presented for analyzing the automatic control system's stability,that is matrix norm method.On the basis of the theory of matrix norm,the sufficiency and necessary condition of a descrete linear system is discussed.And an analysis example is given,which accordingly validates the correctness of the method.