This paper proposes an interval-based method for estimating the state of a linear continuous-time dynamical system. In this work, we assume that the measurements are provided at discrete times and that all errors are bounded. Interval analysis is used to propagate the interval uncertainties continuously over time. The resulting method is guaranteed to never lose any feasible solution and provides an optimal polygonal enclosure of the state trajectory. A reproducible example illustrates the principle of the method.

中文翻译：

---

精确的有界误差连续时间线性状态估计器

本文提出了一种基于间隔的方法来估计线性连续时间动力系统的状态。在这项工作中，我们假设测量是在不连续的时间进行的，并且所有误差都是有界的。间隔分析用于随时间连续传播间隔不确定性。保证所得方法永远不会丢失任何可行的解决方案，并提供状态轨迹的最佳多边形包围。一个可重现的示例说明了该方法的原理。