关于矩阵分解为稳定矩阵之和的讨论

On Decomposing a Matrix into the Sum of Stable Matrices

要解决的问题是一个矩阵是否可以分解为若干稳定 (连续时间意义下 )矩阵的和 .通过推广Ito,Hattori and Maeda在文献 [2 ]中使用的方法并运用其中的成果 ,我们得到了更为准确的相关结论 .

In this paper, the problem of whether a given matrix can be decomposed into the sum of stable (in the sense of continuous-time stablility) matrices is studied. By generalizing the approach and the results of reference , we get a more correct result.