Delay-dependent global asymptotic stability criteria for genetic regulatory networks with time delays in the leakage term

作者：Rakkiyappan R^*; Balasubramaniam P; Balachandran K

来源：Physica Scripta, 2011, 84(5): 055007.

DOI：10.1088/0031-8949/84/05/055007

This paper investigates the delay-dependent global asymptotic stability of genetic regulatory networks (GRNs) with mixed delays, which include constant delays in the leakage term (i.e., 'leakage delay'), interval time-varying delays and continuously distributed delays. Based on the Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition is obtained in linear matrix inequality (LMI) form such that delayed GRNs are globally asymptotically stable. These conditions are expressed in terms of LMIs and can be easily checked using the MATLAB LMI toolbox. Even when there is no leakage delay, the obtained results are also not as restrictive as in some recent works. Finally, two numerical examples are included to demonstrate the effectiveness of the proposed method.

• 出版日期2011-11