本文获得了四元数矩阵的范数和迹的一些不等式，改进了近期的某些结果。
In this paper, we obtain some inequalities for norm and traces of quaternion matrices.
提出了用解矩阵迹的不等式设计动力系统镇定控制器的一种新方法。
A new kind of stabilizing controller design method for dynamic systems is proposed by solving trace inequalities of matrices.
证明了几个与四元数矩阵迹有关的弱控制不等式，推广、改进了有关文献的相应结果。
Several weakly controled inequalities with relation to trace of quaternions matrices are proved, and relevant results in some references are generalized and improved.
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