Stability of Genetic Regulatory Networks with Interval Time-Varying Delays via Convex Combination Method

In this paper, asymptotical stability of genetic regulatory networks with interval time-varying delays is investigated. By choosing an appropriate new Lyapunov functional and employing convex combination method to estimate the derivative of the Lyapunov functional, some new delay-range-dependent and delay-derivativedependent/independent stability criteria are presented in terms of linear matrix inequalities (LMIs). The important feature is that the obtained stability criteria are applicable to both fast and slow time-varying delays due to the ranges for the time-varying delays have been carefully considered. Three numerical examples are used to demonstrate the usefulness of the main results and less conservativeness of the presented results.