中文摘要：

为研究N维离散系统的辨识问题，建立一个N维线性空间中凸多边形的识别模型。通过矩阵变换将问题简化，并给出了模型辨识的条件，然后利用线性规划单纯形法的有关技巧建立了相应的数值算法。

英文摘要：

A mathematical model of the convex polygons in the N-dimensional linear space in order to study the N-dimensional discrete systems is established. The problem is simplified by matrix transformation and then the conditions of the model of identification are concluded after the proofs. At last advantage of the techniques of simplex method is taken and proposed the corresponding numerical algorithm.