A note on the robust stability of genetic regulatory networks with time-varying delays

This paper is concerned the robust stability analysis problem for genetic regulatory networks with time-varying delays. By utilizing a Lyapunov-Krasovskii functional, we show that the addressed genetic regulatory networks are robustly, asymptotically stable if a convex optimization problem is feasible. A stability criterion is derived and formulated by means of the feasibility of a linear matrix inequality (LMI), which can be effectively solved by some standard numerical packages. A numerical example is given to demonstrate the usefulness of the proposed robust stability criterion.