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Observability of Timed Continuous Petri Nets: A Class of Hybrid Systems

机译:定时连续Petri网的可观察性:一类混合系统

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Timed continuous Petri net systems with infinite server semantics are piecewise linear systems. This paper addresses several problems regarding the state observability of these systems. We assume that the initial marking/state is not known and measuring some places we want to estimate all the others. First, a study of the different linear systems corresponding to a continuous Petri net system is performed. It is shown that in some cases, some of them are redundant, and so can be disregarded. The notion of distinguishable configurations is introduced. It helps to give a necessary and sufficient criterion for the observability in infinitesimal time. Using results from linear structured systems (Commault et al. (2005)), the concept of generic observability is introduced and it is studied in the case of join free nets.
机译:具有无限服务器语义的定时连续Petri网系统是分段线性系统。本文解决了关于这些系统的状态可观察性的几个问题。我们假设初始标记/状态未知并衡量我们想要估算所有其他人的一些地方。首先,执行对应于连续的Petri网系统的不同线性系统的研究。结果表明,在某些情况下,其中一些是多余的,因此可以忽略。介绍了可区分配置的概念。它有助于为无穷大的时间提供必要和充分的可观察性标准。使用线性结构化系统的结果(Mangault等人。(2005)),介绍了通用可观测性的概念,并在加入免费网的情况下研究。

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