常线性微分方程组的求解方法

Solution of Constant Coefficient of Linear Differential Equation System x′=Ax

基于微分方程组解法的分析,给出一般方阵化Jordon标准型过程中的非奇异矩阵过渡的求法,从而可从另一个角度来分析微分方程X'=AX基解矩阵新的求解方法.同时本文在线性时不变系统理论中也有较为广泛的应用.

Based on the analysis of differential equations solution, this paper gives the method of nonsingular transition matrix solution in the process of turning general square matrix into Jordan standard type. Thus, we can explore and research the solution of differential equations＇ fundamental solution matrix from another angle. At the same time, this paper also has wider application to linear time-invariant systems theory.