Direct identification of general linear compartmental systems by means of (n-2) compartments measures
Purpose - Aims to study direct identification of general linear compartmental systems by means of (n - 2) compartmental measures. This is based on two main results. Design/methodology/approach - The first result presented is related to the existence and uniqueness of identification exchange parameters in linear compartmental systems by using a direct method with less restrictive assumptions. A second result given, permits us to show that (n - 2) observations are sufficient to identify the compartmental systems. Findings - This research study describes a method which shows that in an open linear compartmental systems there exists an energy dissipation from compartmental 1 to the systems exterior. An explicit relationship between the dissipated energy and the exchange parameters was established. The results are probably perfectible and are optimal for n = 3, where only an observable compartment is needed. Practical implications - The identification of exchange parameters is easily obtained by using the matrix of the elementary masses and by solving a linear algebraic system. Among the open problems in compartmental analysis is the problem of minimizing the observable compartments which is studied in this paper. Originality/value - The study is based on the original work of Yves Cherruault who has already presented methods for proving that a bicompartmental systems is uniquely identified. He has generalised his method for n-compartments.
cybernetics dynamics modelling