Absolute global exponential stability in lagrange sense of genetic regulatory networks with hybrid regulatory mechanism

In this paper, the absolute global exponential stability for time-varying delays genetic regulatory networks(GRNs) with hybrid regulatory mechanism is studied. By using comparing theorem and constructing appropriate Lyapunov functions, several criteria are presented for the absolute global exponential stability of GRNs. It is obtained that time-varying delays GRNs with hybrid regulatory mechanism are absolute global exponential stability in lagrange sense. Finally, a modified 5-node GRNs model is presented to test the correctness and effectiveness of our theoretical results.