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Excitation allocation for generic identifiability of linear dynamic networks with fixed modules
Systems and Control · Submitted 22 Jan 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The graphical approach introduced earlier is extended to this situation, showing that the presence of fixed modules reduces the required number of external signals.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Identifiability of linear dynamic networks requires the presence of a sufficient number of external excitation signals. | background 1.00 | 0.07 | 0.04 | asserted 1.00 |
| s1 | The problem of allocating a minimal number of external signals for guaranteeing generic network identifiability has been recently addressed in the literature. | background 1.00 | 0.03 | 0.03 | asserted 1.00 |
| s2 | 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. | contribution 0.98 | 0.67 | 0.07 | asserted 0.91 |
| s3 | The graphical approach introduced earlier is extended to this situation, showing that the presence of fixed modules reduces the required number of external signals. | result 0.93 | 0.88 | 0.74 | asserted 1.00 |
| s4 | An algorithm is presented that allocates the external signals in a systematic fashion. | method 0.50 | 0.93 | 0.09 | asserted 1.00 |
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The paper
Original abstract
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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