A study on structural identifiability of compartmental systems

Shigetoshi Okano, Hajime Maeda, Hideo Kusuoka, Shinzo Kodama

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This paper considers relationships between structural identifiability of compartmental systems and the interconnections of their compartments. First, structural identifiability is defined in such a way that the definition is practically significant and in addition, the interconnection structure of a system well is represented. Then an algebraic condition equivalent to this definition is derived. Based on this, necessary conditions are derived for classes of compartmental systems to be structurally identifiable in terms of interconnection graphs of compartments. A numerical procedure for examining the structural identifiability is given. The results of the application of this procedure to 3‐ and 4‐compartment systems show that the necessary conditions are also sufficient conditions. Finally, several conjectures based on the results of numerical computations are given.

Original languageEnglish (US)
Pages (from-to)1-9
Number of pages9
JournalElectronics and Communications in Japan (Part I: Communications)
Issue number3
StatePublished - Mar 1981

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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