Passivity analysis for stochastic Markovian switching genetic regulatory networks with time-varying delays

In this paper, the passivity problem for the stochastic Markovian switching genetic regulatory networks with time-varying delays is investigated. By applying control theory and mathematical tools, a sufficient condition for this problem is obtained and presented in terms of linear matrix inequalities (LMIs), which can be easily verified by Matlab LMI toolbox. The obtained condition provides some insight into synthetic biology and systems biology. Finally, a numerical example is given to show the effectiveness of the proposed result.