Mixed time delays dependent stability for uncertain genetic regulatory networks

In this paper, the robust stability problem of genetic regulatory networks (GRNs) with mixed delays is investigated. By choosing an appropriate Lyapunov-functional, some mixed time delays dependent stability criteria for GRNs are derived in the form of linear matrix inequalities (LMI), which can be easily checked by Matlab Toolbox. Both the lower bounds and upper bounds of discrete and distributed time delays are taken into account. which may produce less conservative result. Finally, an example is given to show the usefulness of our derived results.