Robust stochastic stability of hybrid genetic networks

In this paper, a stochastic hybrid genetic networks model is proposed. By taking into account the structure variations at discrete time instances during the process of gene regulation, its robust stochastic stability with intrinsic and extrinsic noises is then addressed from stochastic system point of view. The sufficient stability condition for the hybrid genetic networks could be easily facilitated by Matlab LMI toolbox. Finally, a numerical example with simulations is provided to illustrate the effectiveness of the developed results.