引进相似变换,以减少或消除子系统间的层次差异,提出了一层次差异消除准则,进而运用比较原理和矩阵指数性质,建立了非线性关联子系统矩阵特征值与系统稳定性之间的关系,将一类具有非线性系统的镇定问题转换成经典的特征值配置问题.本文仅需假定系统的非线性(可能含不确定性)成分具范数界,不必要求其范数满足匹配条件.数值例子表明所给出的方法的有效性,并与相关成果进行了比较. Similar transformations are introduced to reduce or eliminate the hierarchical differences among subsystems. A criterion of elimination of one-level differences is proposed, and then the relationship between matrix eigenvalues ​​and system stability of nonlinear correlation subsystems is established by using comparison principle and matrix index , A class of stabilization problems with nonlinear systems is transformed into the classical problem of eigenvalue assignment.In this paper, we only need to assume that the nonlinear (possibly uncertain) components of the system have norm boundaries and do not necessarily require that their norm satisfy the matching conditions. The numerical examples show the effectiveness of the proposed method and are compared with the relevant results.