Abstract
In this contribution the stabilization of a class of positive systems is treated: The controlled Lotka-Volterra systems. Although the dynamical behavior of Lotka-Volterra systems has been analyzed deeply there exist few results concerning control related issues for these systems. In this paper the authors deal with global stabilization. The proposed feedback law renders the zero solution into a globally attractive equilibrium point. The proofs are constructive, allowing the design of such stabilization law in a systematic way. Under certain conditions global asymptotic stability or boundedness of solutions in the interior of the first orthant can also be achieved.
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