New Global Exponential Stability Criteria for Genetic Regulatory Networks with Mixed Delays

In this paper, the global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays. By choosing an appropriate Lyapunov-Krasovkii functional, new conditions of delaydependent stability are obtained in form of linear matrix inequality (LMI). Bounded below of the derivatives of time-varying delay is taken into account for the first time in genetic networks stability analysis, and the main results with less conservatism are established by adopting interactive convex combination method to estimate the upper bound of derivative function of Lyapunov-Krasovkii functional. In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results.