Asymptotic stability of neutral functional differential equation model of genetic regulatory networks with time-varying delays

In this paper we study the asymptotic stability of neutral functional differential equation (NFDE) model of genetic regulatory networks (GRNs) with time-varying delays. It is assumed that time varying delays belong to the predefined intervals. SUM regulatory logic was used for the modeling of the effects from other genes. We consider not only time delayed concentration of messenger ribonucleic acid (mRNA) and protein but also the derivative of time delayed concentration of mRNA. We derive sufficient stability conditions in forms of linear matrix inequalities (LMI) for given GRNs system. Simulation results and illustrative examples are included.