In this talk, we present a general construction of the mass-action kinetic equations in a state-space form. Next, we discuss the nonnegativity of solutions to the kinetic equations and the inverse problem of constructing a reaction network having specified essentially non- negative dynamics. The problem of reducibility of the kinetic equations is next considered as well as the stability of the equilibria of the kinetic equations. Specifically, Lyapunov methods are employed to show boundedness and convergence of solutions. Finally, the zero deficiency result for mass-action kinetics in standard matrix terminology is presented.

### Mass-Action Kinetic Models

Séminaire le 14 Juin 2016, 14h00 à CentraleSupelec (Gif-sur-Yvette) Salle du conseil du L2S - B4.40

**VijaySekhar Chellaboina, (Mahindra Ecole Centrale)**