National Laboratory
for Health Security
HUNGARY

Optimization-based parameter computation for nonnegative systems to achieve prescribed dynamic behaviour

Abstract: In this paper, an optimization-based approach is proposed for finding parameter
values that guarantee a predefined qualitative behavior for a nonlinear nonnegative dynamical system. Similarly to a model predictive control setup, we consider the model states and
parameters as free decision variables and incorporate the system dynamics as well as the
desired behavioral properties into the optimization constraints. To show the feasibility of our
idea, we carried out three case studies on models with increasing state dimension: the Brussellator, a three-dimensional Lotka-Volterra, and a 4-dimensional epidemic model, where the
goal is to induce oscillatory behavior.