动态递归数字滤波器的鲁棒稳定性检验

提出了动态递归数字滤波器的鲁棒稳定性检验定理，将动态递归数字滤波器划分为两类，单调系统簇与非单调系统簇。单调系统簇的稳定性检验与Ｋｈａｒｉｔｏｎｏｖ定理的检验类似，只需检验集合中的四个端点或复多项式，而非单调系统需检验所有可能的端点复多项式的组合。给出了定理的证明与应用举例。

Robust Stability Test for Dynamic Recursive Digital Filters

The robust stability test theorems of dynamic recursive digital filters have been proposed in the paper. The digital filters can be classified into two classes, monotone and non-monotone. For the monotone class of filters, the robust stability test is similar to that of Kharitonov theorem, which only needs to test four extreme polynomials of the class. However, for the non-monotone class of discrete systems, the test must examine possible combinations of all extreme polynomials. The proofs of the theorems and applications have been given also.