This paper introduces a criterion of linear system stability, which is de-rived from the relationship between matrix trace and matrix characteristic value,and the analysis of companion matrix.

• 通过矩阵迹和特征值的关系，以及对友矩阵特性的分析，本文导出一个线性系统稳定性的算法，它简单实用，收敛快，准确度高。