On sampled-data control for stabilization of genetic regulatory networks with leakage delays

The leakage delay has large impacts on the dynamical behavior of genetic regulatory networks (GRNs) and can bring tendency to destabilize systems. This paper is concerned with the stabilization of genetic regulatory networks with leakage delays. Some novel conditions for stabilizing the GRNs are obtained based on Lyapunov method. The sampled-data controller is designed by solving linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the effectiveness of the theoretical results.