中文摘要：

概括整齐的观点为矩形的描述符系统被建议。经由不同反馈形式的一个矩形的描述符系统的概括 regularizability 被考虑。为概括 regularizability 的必要、足够的条件被获得，它仅仅依赖于开环的系数矩阵。在这些必要、足够的条件下面，所有概括调整反馈控制器形成一个 Zarisky 开的集合，这也被显示出。一个数字例子表明建议结果。

英文摘要：

The notion of generalized regularity is proposed for rectangular descriptor systems. Generalized regularizability of a rectangular descriptor system via different feedback forms is considered. Necessary and sufficient conditions for generalized regularizability are obtained, which are only dependent upon the open-loop coefficient matrices. It is also shown that under these necessary and sufficient conditions, all the generalized regularizing feedback controllers form a Zarisky open set. A numerical example demonstrates the proposed results.