Controlled Positivity under constrained controls of general 2-D systems

The problem of synthesizing stabilizing controllers, when the closed-loop system is required to remain positive, is solved for a class of 2-D systems described by a general model. More precisely, the synthesis of local state-feedback controllers is solved in terms of Linear Programming to deal with the stabilization under constrained controls and nonnegative states. A numerical example is given to illustrate the proposed approach.