Asymptotic stability analysis of Takagi-Sugeno fuzzy genetic regulatory networks with time-varying delays

This paper concerns the asymptotic stability for a class of fuzzy genetic regulatory networks which is described by the Takagi-Sugeno fuzzy model with time-varying delays. In this context, by using Lyapunov functional approach and employing delay-range partition techniques, an asymptotic stability criterion in the form of linear matrix inequalities is given, which can be solved numerically by any LMI solvers. A numerical example is given to verify the effect of our theory.