利用矩阵分解方法 ,在用常数界定元件成份关系斜率条件下 ,得到了确定具有分解形式的高维非线性非自治电路唯一稳态的新条件。其结果表明 ,非线性非自治电路的唯一稳态 ,可以用分解矩阵的稳定性决定。本文的结果对电路元件的约束 ,仅要求成份关系斜率有界即可。这大大放松了目前已有的经典结果中要求电路元件斜率为正的限制 ,扩展了已有的结果。同时 ,本文的结果对于确定高维非线性非自治电路的唯一稳态 ,比已有结果 ,更加有力和简洁 By using the matrix factorization method, a new condition for determining the unique steady state of high dimensional nonlinear nonautonomous circuits with a decomposition form is obtained under the condition that constants are used to define the slope of the component relationships. The results show that the only steady-state of nonlinear non-autonomous circuits can be determined by the stability of the decomposition matrix. The results of this paper, the constraints on the circuit components, only the composition of the relationship between the bounded slope can be. This greatly relaxes the limitations of the current classical results requiring a positive slope of the circuit elements and extends the already existing result. At the same time, the results of this paper are more potent and concise than the previous ones for determining the unique steady-state of high-dimensional nonlinear nonautonomous circuits