本文讨论了二维可分Roesser模型(RM)的模能控(观)性的判定问题,得出了相应的充要条件和数值稳定的算法,同时给出了该算法具有数值鲁棒性的充要条件和算法累积误差最大容许上界的显式估计,最后对二维可分RM的模能观性在状态空间中给出了一种几何解释. In this paper, the problem of judging the modulo-control of the two-dimensional separable Roesser model (RM) is discussed. The necessary and sufficient conditions and the numerical stability of the two-dimensional separable Roesser model are obtained. At the same time, the numerical robustness The sufficient and necessary conditions and the cumulative error of the algorithm allow the explicit estimation of the upper bound. Finally, a geometrical explanation of the modal observability of two-dimensional separable RM is given in state space.