Optimization-based design of kinetic feedbacks for nonnegative polynomial systems

Motivated by the strong results on the relation between the dynamics and graph structure of kinetic systems, static and dynamic feedbacks for polynomial nonlinear systems are proposed in this paper that render the open loop system into weakly reversible kinetic form. The solution of the problem is based on optimization, and uses earlier results on computing different realizations of kinetic systems. The operation of the method is shown through illustrative example.