Under some natural weak assumptions that do not require the technological coefficients matrix is indecomposable , the fact that the dynamic input - output system is not asymptotically stable and the closed dynamic input - output model exists a balanced growth solution is proved 利用矩阵特征值理论和广义系统理论,在相对弱的条件下(不需要直接消耗系数矩阵不可分解) ,证明了动态投入产出系统不是渐近稳定的。