On the Parametric Uncertainty of Weakly Reversible Realizations of Kinetic Systems

The existence of weakly reversible realizations within a given convex domain is investigated. It is shown that the domain of weakly reversible realizations is convex in the parameter space. A LP-based method of testing if every element of a convex domain admits weakly reversible realizations is proposed. A linear programming method is also presented to compute a stabilizing kinetic feedback controller for polynomial systems with parametric uncertainty. The proposed methods are illustrated using simple examples.