An Unified Approach to Study Fixed Modes in Singular Systems
广义分散控制系统固定模的统一判定

In this paper, the rank at infinity and the generalized rank of a matrix pencil are defined, and the algorithm for the computation of them is also given. Then by using these properties, necessary and sufficient conditions for the simultaneous existence of both finite and infinite fixed modes are obtained.The approach given in this paper is significant because the two types of fixed modes may be dealt with as the same and the conditions that characterize them have also the same form. Furthermore, this approach can be used to study more complicated systems.