Mean Square Stability of Stochastic Impulsive Genetic Regulatory Networks with Mixed Time-Delays

作者: Zhanheng Chen , Haijun Jiang

DOI: 10.1007/978-3-642-31346-2_35

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摘要: In this paper, we investigate a class of stochastic impulsive genetic regulatory networks with mixed time-delays. By using Lyapunov-Krasovskii functional method, LMI method and mathematical induction, some sufficient conditions are derived ensuring the globally exponential stability equilibrium point in mean square. It is believed that these results significant useful for design applications networks. Finally, an example given to illustrate obtained paper.

参考文章(30)
Attila Becskei, Luis Serrano, Engineering stability in gene networks by autoregulation Nature. ,vol. 405, pp. 590- 593 ,(2000) , 10.1038/35014651
Hamid Bolouri, James M. Bower, Computational modeling of genetic and biochemical networks MIT Press. ,(2001)
F. J. Isaacs, J. Hasty, C. R. Cantor, J. J. Collins, Prediction and measurement of an autoregulatory genetic module Proceedings of the National Academy of Sciences of the United States of America. ,vol. 100, pp. 7714- 7719 ,(2003) , 10.1073/PNAS.1332628100
Wangli He, Jinde Cao, Robust stability of genetic regulatory networks with distributed delay. Cognitive Neurodynamics. ,vol. 2, pp. 355- 361 ,(2008) , 10.1007/S11571-008-9062-0
Xuerong Mao, Attraction, stability and boundedness for stochastic differential delay equations Nonlinear Analysis-theory Methods & Applications. ,vol. 47, pp. 4795- 4806 ,(2001) , 10.1016/S0362-546X(01)00591-0
Leroy Hood, David Galas, The digital code of DNA Nature. ,vol. 421, pp. 444- 448 ,(2003) , 10.1038/NATURE01410
Tianhai Tian, Kevin Burrage, Pamela M. Burrage, Margherita Carletti, Stochastic delay differential equations for genetic regulatory networks Journal of Computational and Applied Mathematics. ,vol. 205, pp. 696- 707 ,(2007) , 10.1016/J.CAM.2006.02.063
Chunguang Li, Luonan Chen, Kazuyuki Aihara, Stochastic Stability of Genetic Networks With Disturbance Attenuation IEEE Transactions on Circuits and Systems Ii-express Briefs. ,vol. 54, pp. 892- 896 ,(2007) , 10.1109/TCSII.2007.901631
Hiromi Hirata, Shigeki Yoshiura, Toshiyuki Ohtsuka, Yasumasa Bessho, Takahiro Harada, Kenichi Yoshikawa, Ryoichiro Kageyama, Oscillatory Expression of the bHLH Factor Hes1 Regulated by a Negative Feedback Loop Science. ,vol. 298, pp. 840- 843 ,(2002) , 10.1126/SCIENCE.1074560