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本文在讨论ｎ－Ｄ矩阵方程求解条件的基础上，针对由Ａｇａｔｈｏｋｌｉｓ等人提出的具有实际意义的ｎ维（ｎ－Ｄ）离散系统，给出了判定ｎ－Ｄ矩阵方程是否有解的充要条件，并给出了判定系统是否具有实际意义稳定性的方法，以算例加以说明．
Based on the discussion of the n-D matrix equation solving conditions and the practical n-dimensional discrete system proposed by Agathoklis et al., It is necessary to determine whether the n-D matrix equation has a solution Conditions, and gives a method of judging whether the system has practical significance and stability, and gives an example to illustrate.