The Matrix Analysis Method And Classification Of The Generalized System

With the development of science and technology, in order to solve some engineering problems of urgent need, generalized system of dimension becomes more and more big, and then the generalized system structure bring also will become more and more complex, there had been a lot of problems in the theoretical analysis. Therefore, people have to solve the key issue is to try to make the complex structure of the generalized system simplified. This paper focuses on the use of linear time-invariant reversible that transform the generalized linear system is simplified methods and specific steps, and by using recursion method, there has been got one of the most simple standard form. The most simple standard form is more useful to a deep understanding of the generalized system of the structure characteristics, it can deeply reveals state space describe and the relationship between input and output, for the follow-up of the generalized system of deep analysis to lay the foundation.This paper first introduced the linear system theory and the relevant mathematical theory basis. At present, according to the more complex structure of the generalized system, to analysis and synthesis, using the method is to use three kinds of limited equivalent transformation. Because the limited equivalent transformation of the generalized system to keep the structure characteristics.The three kinds of limited equivalent transformation of generalized system of will be intrduced in the third chapter in this paper.In this paper, continuous-time linear time-invariant generalized system, using matrix analysis method to generalized system conducting equivalent transformation.lt had been got a general linear time-invariant generalized system simpler standard form. In fact, it is one of the most simple standard form that the linear time-invariant generalized system can be simplified. This is an important innovation in this article. We can use it to create a new the structure analysis method.For generalized system.And finally obtained the generalized system solution general of expression form. In addition, and on the two kinds of relative special conditions, the results of the study show that the linear time-invariant system can be changed more simple form by the reversible transformation. Finally, it has been given the final form of the generalized system state and steps in these two conditions. And in the process, this paper is given the expression that the general of linear system have control input with higher order derivatives.