O. Bernard et al., NONLINEAR OBSERVERS FOR A CLASS OF BIOLOGICAL-SYSTEMS - APPLICATION TO VALIDATION OF A PHYTOPLANKTONIC GROWTH-MODEL, IEEE transactions on automatic control, 43(8), 1998, pp. 1056-1065
In this paper the authors construct nonlinear observers in order to di
scuss the validity of biological models. They consider a class of syst
ems including lots of classical models used in biological modeling, Th
ey formulate the nonlinear observers corresponding to these systems an
d prove the conditions necessary to their exponential convergence, The
y apply these observers on the well-known Droop model which describes
the growth of a population of phytoplanktonic cells. The validity of t
his model is discussed to the light of the performance of the observer
s working on experimental data.