In this work we formulate the satisfaction of a (syntactically co-safe) linear temporal logic specification on a physical plant through a recent hybrid dynamical systems formalism. In order to solve this problem, we introduce an extension to such a hybrid system framework of the so-called eventuality property, which matches suitably the condition for the satisfaction of such a temporal logic specification. The eventuality property can be established through barrier certificates, which we derive for the considered hybrid system framework. Using a hybrid barrier certificate, we propose a solution to the original problem. Simulations illustrate the effectiveness of the proposed method.

中文翻译：

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满足线性时序逻辑规范的混合屏障证书方法

在这项工作中，我们通过最近的混合动力系统形式主义，制定了对物理工厂的（语法上安全的）线性时间逻辑规范的满意度。为了解决这个问题，我们引入了对所谓的事件属性的这种混合系统框架的扩展，该框架适当地匹配了满足这种时间逻辑规范的条件。可以通过障碍证书来建立最终属性，我们可以从考虑的混合系统框架中获得该证书。使用混合障碍证书，我们提出了针对原始问题的解决方案。仿真表明了该方法的有效性。