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Necessary and sufficient conditions for the identifiability of isolated loops

Eduardo Mapurunga, Michel Gevers, Alexandre Sanfelice Bazanella

TL;DR

This Letter provides necessary and sufficient conditions on the excitation and measurement pattern (EMP) that guarantee identifiability of a dynamical network that has the structure of a loop.

Abstract

This Letter provides necessary and sufficient conditions on the excitation and measurement pattern (EMP) that guarantee identifiability of a dynamical network that has the structure of a loop. The conditions are extremely simple in their formulation, and they can be checked by visual inspection. They allow one to easily characterize all EMPs that make the loop network identifiable.

Necessary and sufficient conditions for the identifiability of isolated loops

TL;DR

This Letter provides necessary and sufficient conditions on the excitation and measurement pattern (EMP) that guarantee identifiability of a dynamical network that has the structure of a loop.

Abstract

This Letter provides necessary and sufficient conditions on the excitation and measurement pattern (EMP) that guarantee identifiability of a dynamical network that has the structure of a loop. The conditions are extremely simple in their formulation, and they can be checked by visual inspection. They allow one to easily characterize all EMPs that make the loop network identifiable.

Paper Structure

This paper contains 6 sections, 14 equations, 1 figure, 1 table.

Table of Contents

  1. Introduction
  2. Identification of isolated loops
  3. The identification of a dynamical network
  4. Loop graphs and their properties
  5. Necessary and sufficient conditions for identification of loops
  6. Conclusions

Figures (1)

  • Figure 1: Two possible EMPs for a 5-node loop. E stands for an excited node and M for a measured node.