论文标题
引发和测量模式的定向无环图的可识别性
Excitation and Measurement Patterns for the Identifiability of Directed Acyclic Graphs
论文作者
论文摘要
本文介绍了激发和测量模式(EMP)的设计,以识别一类动力网络,其拓扑具有有向无环图(DAG)的结构。除了现在的众所周知的条件外,任何动态网络的识别都要求激发源,测量水槽以及所有其他节点要么激发或测量所有其他节点,我们还表明,对于DAGS,其他两种类型的节点具有特殊的激发和测量要求。根据此结果,我们提出了一个系统的系统,用于设计EMP,以确保具有DAG拓扑的网络的可识别性。
This paper deals with the design of Excitation and Measurement Patterns (EMP) for the identification of a class of dynamical networks whose topology has the structure of a Directed Acyclic Graph (DAG). In addition to the by now well known condition that the identifiabiltiy of any dynamical network requires that the sources be excited, the sinks be measured, and all other nodes be either excited or measured, we show that for DAGs two other types of nodes have special excitation and measurement requirements. Armed with this result, we propose a systematic procedure for the design of EMPs that guarantee identifiability of a network with DAG topology.