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.