In this work, we attempt to bring together the origins, main results, and recent advances on discrete-event simulation of continuous-time systems. Starting from the early approaches that aimed to represent continuous-time dynamics within the discrete-event system specification (DEVS) formalism framework, the work shows how these ideas gave place to the formalization of the quantized state system (QSS) family of numerical integration algorithms. Then, we describe the QSS algorithms, their properties, their extensions, and the main practical software tools implementing them. We also present a selection of simulation examples illustrating the main features and advantages through comparisons with state-of-the-art continuous-time simulation solvers.

中文翻译：

---

连续时间系统的离散事件模拟：量化状态系统方法的演变和最新技术

在这项工作中，我们试图将连续时间系统离散事件模拟的起源、主要结果和最新进展结合起来。这项工作从旨在表示离散事件系统规范 (DEVS) 形式主义框架内的连续时间动态的早期方法开始，展示了这些想法如何取代量化状态系统 (QSS) 系列数值积分算法的形式化。然后，我们描述了 QSS 算法、它们的属性、它们的扩展以及实现它们的主要实用软件工具。我们还提供了一系列模拟示例，通过与最先进的连续时间模拟求解器进行比较来说明主要特征和优势。