论文标题
线性不确定系统的可触及套件和管的收敛不足
Convergent Under-Approximations of Reachable Sets and Tubes for Linear Uncertain Systems
论文作者
论文摘要
在本说明中，我们提出了一种方法，以使一类连续的线性不确定系统的有限时到达集合和试管不足。所考虑的类是线性时间变化（LTV）类，具有可集成的时间变化系统矩阵以及不确定的初始和输入值，属于已知凸形紧凑型集合。所提出的方法取决于迭代使用恒定输入的可到达集，这在Hausdorff距离的意义上导致收敛的不良焦虑。我们通过两个数字示例来说明我们的方法。
In this note, we propose a method to under-approximate finite-time reachable sets and tubes for a class of continuous-time linear uncertain systems. The class under consideration is the linear time-varying (LTV) class with integrable time-varying system matrices and uncertain initial and input values belonging to known convex compact sets. The proposed method depends upon the iterative use of constant-input reachable sets which results in convergent under-approximations in the sense of Hausdorff distance. We illustrate our approach through two numerical examples.
