Abstract
We consider positive systems possessing a number of first integrals. Two examples of systems with these properties are systems with constant mass and particular chemical networks. First we design feed backs to stabilize a given level set associated to the first integrals. Secondly we show that this feedback allows to globally stabilize an equilibrium point if it is already asymptotically stable with respect to initial conditions in its own level set. We compare our results with two known results.
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