Delay-dependent stability criteria for genetic regulatory networks with time-varying delays and nonlinear disturbance

This paper presents the robust stability of genetic regulatory networks with time-varying delays and nonlinear disturbance. By choosing an appropriate new Lyapunov functional, a new delay-dependent stability criteria is obtained and formulated in terms of linear matrix inequalities (LMIs). The resulting criterion has advantages over some previous ones in that it involves fewer matrix variables but has less conservatism. Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results.

► This paper presents the robust stability of genetic regulatory networks with time-varying delays and nonlinear disturbance. ► The stability criteria are less conservative with fewer matrix variables than some recently reported ones. ► The rigorous constraint that the time-derivatives of time-varying delays must be less than one has been removed. ► The feasibility and effectiveness of the developed methods have been shown by numerical simulation.