目前文献中关于线性切换系统稳定性的鲁棒性分析很少 ,论文先利用多项式插值的方法 ,将线性切换系统的一般形式模型转换为矩阵系数多项式模型。然后以矩阵奇异值为分析工具 ,针对线性切换系统的切换规则不确定性 ,讨论了系统渐近稳定的鲁棒性问题。给出了两个系统鲁棒稳定的充分性条件 ,指出后者的保守性比前者更低 ,并且通过一个例子验证了有关结论的正确性 In the current literature, the robustness analysis of the stability of linear switched systems is seldom studied. The paper first uses the polynomial interpolation method to transform the general form of the linear switched system into a matrix coefficient polynomial model. Then the matrix singular value is used as the analysis tool. According to the uncertainty of the switching rule of the linear switched system, the robustness of the system is discussed asymptotically. The sufficient and sufficient conditions for the two systems to be robust and stable are given. The latter is more conservative than the former, and the correctness of the conclusions is verified by an example