On the Parametric Uncertainty of Weakly Reversible Realizations of Kinetic Systems
György Lipták, Gábor Szederkényi, Katalin Mária Hangos · SZTAKI Publication Repository (Hungarian Academy of Sciences) · 2014
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.