Current browse context:
math.DS
Change to browse by:
References & Citations
Mathematics > Dynamical Systems
Title: Structural Identifiability of Series-Parallel LCR Systems
(Submitted on 13 Jul 2021 (v1), last revised 27 Jan 2022 (this version, v2))
Abstract: We consider the identifiability problem for the parameters of series-parallel LCR circuit networks. We prove that for networks with only two classes of components (inductor-capacitor (LC), inductor-resistor (LR), and capacitor-resistor (RC)), the parameters are identifiable if and only if the number of non-monic coefficients of the constitutive equations equals the number of parameters. The notion of the "type" of the constitutive equations plays a key role in the identifiability of LC, LR, and RC networks. We also investigate the general series-parallel LCR circuits (with all three classes of components), and classify the types of constitutive equations that can arise, showing that there are 22 different types. However, we produce an example that shows that the basic notion of type that works to classify identifiability of two class networks is not sufficient to classify the identifiability of general series-parallel LCR circuits.
Submission history
From: Cashous Bortner [view email][v1] Tue, 13 Jul 2021 17:53:51 GMT (31kb,D)
[v2] Thu, 27 Jan 2022 19:00:15 GMT (32kb,D)
Link back to: arXiv, form interface, contact.