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.

Research highlights► Research result provides some insight into GRNs. ► The passivity condition builds a bridge between the control theory and GRNs. ► Novel techniques are used to reduce the conservatism in the result.