| This topic will focus on the research in the field of systems control often encounter a few kind of block matrix problem. And in system control theory research main object is general system, generalized linear systems is a dynamic system - than the normal form of a linear system is more widely. However, in the early stages of modeling, it is difficult to ensure that the initial establishment of the descriptor linear systems is regular. As non-regular descriptor linear systems, it is difficult to ensure the impulse-free, unique solution and other characteristics. At the initial stage, it is difficult to establish a good performance of a system model for a new system. Therefore, under the premise of uncertainty, it makes sense to the characteristics distinguishing of any non-regular descriptor linear systems.Based on the coefficient matrix of the generalized systems are limited equivalent transformation, through its simplest form coefficient matrix to study this situation rank of matrix, and then come to the generalized systems of related properties. This article is a simplified system before the restricted equivalent basis,relationship utilization coefficient matrix generalized linear systems rank satisfied, discriminates sufficient condition for generalized linear systems behavior appears no pulse. Thus the conclusion is more general.Then, the paper considers the problem of controller design for a class with a generalized system of uncertainties. In system design, want to study more practical application value, we should thinking the actuator or sensor failures, the research content is more practical significance.Finally, a summary of the full text summary and follow-up plans and prospects related content that can be achieved. |