论文标题
混合系统中ZENO执行的最佳性
Optimality of Zeno Executions in Hybrid Systems
论文作者
论文摘要
混合动力学系统（演变都受到连续和离散时间定律的影响）的独特特征是ZENO轨迹。通常，这些轨迹会避免，因为它们会导致问题不正确，因此可能会导致错误的数值结果。但是，这些很难合理地避免确定何时何地发生是一项非平凡的任务。事实证明，在最佳控制问题中，不仅不能避免它们，而且有时在综合解决方案时需要。这项工作探讨了弹跳球的教学示例，以证明“ Zeno Control Executions”的重要性。
A unique feature of hybrid dynamical systems (systems whose evolution is subject to both continuous- and discrete-time laws) is Zeno trajectories. Usually these trajectories are avoided as they can cause incorrect numerical results as the problem becomes ill-conditioned. However, these are difficult to justifiably avoid as determining when and where they occur is a non-trivial task. It turns out that in optimal control problems, not only can they not be avoided, but are sometimes required in synthesizing the solutions. This work explores the pedagogical example of the bouncing ball to demonstrate the importance of "Zeno control executions."
