Identification of a reversible catenary system by the measure of one compartment

TL;DR

This paper proves that all reversible catenary compartmental systems can be identified by measuring only the principal compartment, reducing the need for multiple measurements in such systems.

Contribution

It demonstrates that the identification of reversible catenary systems requires measuring only one key compartment, simplifying the process significantly.

Findings

Reversible catenary systems are identifiable by a single compartment measurement.

The principal compartment suffices for system identification in this class.

The work extends the understanding of minimal measurement requirements for compartmental systems.

Abstract

The known results on compartment system's identification requires observations and measures on some compartments. However, in many situations some compartments can not be measured, so the minimization of the compartment's number to be measured is a very important problem to solve. In this work, this problem had been solved for a class of compartmental systems. It is proved that all reversible catenary system is identifiable by the measure of one compartment, the principal compartment.