Delay dependent robust stability of genetic regulatory networks with time varying delays

In this paper, we present a new robust delay dependent asymptotic stability criteria for genetic regulatory networks with time varying delays. The obtained results have no restriction on the magnitude of derivative of time varying delay, which is less conservative than some existing results. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient condition for genetic regulatory networks to be asymptotic stability and robust stability are derived in the terms of LMI, which can be easily checked via LMI toolbox. A numerical example is given to demonstrate the effectiveness of the obtained results.