论文标题
在线性间隔参数系统的无限方向上及其扩展到AE解决方案
On unbounded directions of linear interval parametric systems and their extensions to AE solutions
论文作者
论文摘要
我们考虑一个线性方程系统，其系数线性取决于间隔参数。它的解决方案集被定义为所有可接受的参数实现的解决方案集。我们研究溶液集的无限方向及其与其内核的关系。矩阵的内核表征了实际情况和普通间隔系统中的无界方向。但是，在一般参数情况下，这并不完全正确。仍然存在一个密切的关系，我们在论文中进行了讨论。然而，我们确定了几个特殊的子类，这些子类仍然有效。接下来，我们将结果扩展到所谓的AE参数系统，该系统由forall存在的量化定义。
We consider a system of linear equations, whose coefficients depend linearly on interval parameters. Its solution set is defined as the set of all solutions of all admissible realizations of the parameters. We study unbounded directions of the solution set and its relation with its kernel. The kernel of a matrix characterizes unbounded direction in the real case and in the case of ordinary interval systems. In the general parametric case, however, this is not completely true. There is still a close relation preserved, which we discuss in the paper. Nevertheless, we identify several special sub-classes, for which the characterization remains valid. Next, we extend the results to the so called AE parametric systems, which are defined by forall-exists quantification.
