An improved robust delay-dependent stability criterion for genetic regulatory networks with interval time delays

作者：Koo J H; Ji D H; Won S C; Park Ju H^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(8): 3399-3405.

DOI：10.1016/j.cnsns.2011.12.016

• Genetic regulatory networks (GRN)
• Interval delay
• Stability
• Linear matrix inequality (LMI)

This paper proposes an improved robust delay-dependent criterion for stability of genetic regulatory networks with delays which vary in an interval. A modified Lyapunov-Krasovskii functional is used to derive a sufficient condition in terms of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. The derived stability criterion is less conservative than ones in the literature. A numerical example and simulation results show the effectiveness of the proposed method.

• 出版日期2012-8