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Mathematical Problems in Engineering
Volume 2014, Article ID 768483, 11 pages
Research Article

A Less Conservative Stability Criterion for Delayed Stochastic Genetic Regulatory Networks

School of Mathematical Science, Heilongjiang University, Harbin 150080, China

Received 18 January 2014; Accepted 3 March 2014; Published 8 April 2014

Academic Editor: Yuxin Zhao

Copyright © 2014 Tingting Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper concerns the problem of stability analysis for delayed stochastic genetic regulatory networks. By introducing an appropriate Lyapunov-Krasovskii functional and employing delay-range partition approach, a new stability criterion is given to ensure the mean square stability of genetic regulatory networks with time-varying delays and stochastic disturbances. The stability criterion is given in the form of linear matrix inequalities, which can be easily tested by the LMI Toolbox of MATLAB. Moreover, it is theoretically shown that the obtained stability criterion is less conservative than the one in W. Zhang et al., 2012. Finally, a numerical example is presented to illustrate our theory.