Lyapunov Functions for the Stability of a Class of Chemical Reaction Networks
نویسندگان
چکیده
A class of Lyapunov functions is introduced for reaction networks satisfying simple graphical conditions. The Lyapunov functions are piecewise linear and convex in terms of the reaction rates. The existence of such functions ensures the convergence of trajectories toward the equilibria, and guarantee the asymptotic stability of the equilibria with respect to their stoichiometric compatibility class. Examples are provided, and future directions are elaborated.
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