论文标题

具有固定模块的线性动态网络的通用可识别性的激发分配

Excitation allocation for generic identifiability of linear dynamic networks with fixed modules

论文作者

Dreef, H. J., Shi, S., Cheng, X., Donkers, M. C. F., Hof, P. M. J. Van den

论文摘要

线性动态网络的可识别性要求存在足够数量的外部激发信号。最近在文献中解决了为保证通用网络可识别性的最少数量的外部信号的问题。在这里,我们将通过明确结合某些网络模块已知的情况来扩展这项工作,从而将其固定在参数化模型集中。前面引入的图形方法扩展到了这种情况,表明固定模块的存在减少了所需的外部信号数量。提出了一种以系统的方式分配外部信号的算法。

Identifiability of linear dynamic networks requires the presence of a sufficient number of external excitation signals. The problem of allocating a minimal number of external signals for guaranteeing generic network identifiability has been recently addressed in the literature. Here we will extend that work by explicitly incorporating the situation that some network modules are known, and thus are fixed in the parametrized model set. The graphical approach introduced earlier is extended to this situation, showing that the presence of fixed modules reduces the required number of external signals. An algorithm is presented that allocates the external signals in a systematic fashion.

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