Stabilization of positive systems with first integrals

Abstract

Positive systems possessing first integrals are considered. These systems frequently occur in applications. This paper is devoted to two stabilization problems. The first is concerned with the design of feedbacks to stabilize a given level set. Secondly, it is shown that the same feedback allows to globally stabilize an equilibrium point if it is asymptotically stable with respect to initial conditions in its level set. Two examples are provided and the results are compared with those in the literature.