LMI-based approach for robust stability analysis of genetic regulatory delayed networks

In this paper, new robust stability criteria of genetic regulatory networks with time-varying delays based on Lyapunov functional will be explored. The complex genetic regulatory network mechanism is regarded as SUM logic. Lyapunov based sufficient conditions for robust stability by introducing bounding techniques and free weighting matrices will be derived. All the proposed stability conditions in the forms of Riccati inequality can be expressed in terms of linear matrix inequality (LMIs) by Schur complements. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods.