How many compartments do we really need? [LTI systems]

Author

Benvenuti, Luca ; Farina, Lorenzo

Author_Institution

Dipt. di Informatica e Sistemistica "Antonio Ruberti", Universita degli Studi di Roma "La Sapienza", Rome, Italy

Volume

6

fYear

2002

fDate

2002

Firstpage

4614

Abstract

This paper tackles the problem of assessing the compartmental nature of a system. As a first step, it is shown that this problem is strictly related to that of positive realizability, and that of determining the minimum number of compartments involved in a process is related to the problem of minimality for positive realizations. Then, necessary and sufficient conditions for a given transfer function to be that of a compartmental system of some finite order are provided. Finally, necessary and sufficient conditions for a given third order transfer function with distinct real poles to be that of a compartmental system with three compartments are provided.

Keywords

asymptotic stability; continuous time systems; linear systems; realisation theory; transfer function matrices; LTI continuous-time systems; LTI systems; asymptotically stable matrices; compartmental system nature assessment; distinct real poles; finite order compartmental system; minimality; minimum number of compartments; necessary sufficient conditions; positive realizability; third order transfer function; transfer function; Kinetic theory; Sufficient conditions; Transfer functions; Water resources;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1025382

Filename

1025382