Interval observers for uncertain biological systems

JL Gouzé, A Rapaport, MZ Hadj-Sadok - Ecological modelling, 2000 - Elsevier
We present a technique for the dynamic estimation of bounds on unmeasured variables (or
parameters) of an uncertain dynamical system. Our approach is purely deterministic and
relies on interval observers: from (possibly time varying) intervals on the uncertainty and
measurements, we compute guaranteed intervals for the unmeasured variables. This
method is applicable for a class of non-linear systems met in several biological modellings:
two examples are shown, one model of a three stages structured population, and one of …