Title :
Embedding a-priori positivity in systems modelling
Author :
Benvenuti, Luca ; Santis, Alberto De ; Farina, Lorenzo
Author_Institution :
Dipt. di Informatica e Sistemistica "Antonio Ruberti", Universita degli Studi di Roma "La Sapienza", Rome, Italy
Abstract :
This paper deals with the issue of model consistency in identification procedures for LTI compartmental systems, where the existence of a positive realization of a given order must be ensured. This is accomplished by means of a finite set of constraints yielding sufficient conditions for such a realization to exist. As a byproduct, the same set of conditions also ensure nonnegativity of the estimated impulse response.
Keywords :
constraint theory; eigenvalues and eigenfunctions; identification; linear systems; matrix algebra; nonlinear equations; realisation theory; transient response; LTI compartmental system modelling; embedding a-priori positivity; finite set of constraints; identification procedures; impulse response nonnegativity; model consistency; nonlinear algebraic equations; positive realization; sufficient conditions; Distillation equipment; Ear; Iron; Kinetic theory; Mathematical model; Nonlinear equations; Sufficient conditions; Transfer functions; Water resources;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1025384
