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一类具有分布时滞的随机脉冲基因控制网络的稳定性

Stability Analysis of Stochastic Impulsive Genetic Regulatory Networks with Distribution Time-delays
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摘要 利用LMI及构造Lyapunov函数的方法,证明了具有分布时滞的随机脉冲基因控制网络在均方意义下的全局指数稳定性. The paper proves the Mean square exponential stability in stochastic impulsive genetic regulatory networks with distribution time-delays by using LMI method and the method of constructing Lyapunov functional.
作者 尹为华
机构地区 伊宁市第六中学
出处 《伊犁师范学院学报（自然科学版）》 2015年第1期18-25,共8页 Journal of Yili Normal University：Natural Science Edition
基金 伊犁师范学院重点科研项目(2012ZD005)
关键词 基因控制网络 分布时滞 随机 脉冲 LMI方法 全局指数稳定性 genetic regulatory networks distribution time-delays stochastic impulsive LMI method globally exponential stability
分类号 O175 [理学—基础数学]
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参考文献15

  • 1N. Friedman, M. Linial, I. Nachman, D. Pe'er. Using Bayesian networks to analyze expression data[J]. J. Comput. Bioi, 2000(7): 601-620.
  • 2C. Chaouiya, E. Remy, P. Ruet, D. Thieffi'y. Petrinet modelling of biological regulatory networks[J]. J Disc, 2008(6): 165-177.
  • 3R. Somogyi, C. Sniegoski. Modeling the complexity of genetic networks: Under-standing multigenic and pleiotropic regulation [J]. Complexity, 1996(1): 45-63.
  • 4D. C. Weaver, C. T. Workman, G. D. Storm. Modeling regulatory networks with weight matrices[J]. In Proc ofPae Symp Biocomputing, 1999(4): 113-123.
  • 5L. Hood, D. Galas. The digital code ofDNA [J]. Nature, 2003(421): 444-448.
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二级参考文献28

  • 1N. Friedman, M. Linial, I. Nachman, D. Pe'er. Using Bayesian networks to analyze expression data[J]. J. Comput. Biol., 2000 (7) : 601-620.
  • 2C. Chaouiya, E. Remy, P. Ruet, D. Thieffry. Petrinet modelling of biological regulatory networks[J]. J. Disc., 2008 (6) : 165-177.
  • 3W. He and J.Cao. Robust stability of genetic regulatory networks with distributed delay [J]. Cogn Neurodyn, 2008 (2) : 355-361.
  • 4R. Somogyi, C. Sniegoski. Modeling the complexity of genetic networks: Under-standing multigenic and pleiotropic regulation[J]. Complexity, 1996 ( 1 ) : 45-63.
  • 5D.C.Weaver, C.T.Workman, G.D. Storm. Modeling regulatory networks with weight matrices [J]. In Proc ofPac Symp Biocomputing, 1999 ( 4 ) : 113-123.
  • 6L. Hood, D. Galas. The digital code of DNA [J]. Nature, 2003, 421: 444-448.
  • 7H. Jiang and J. Cao. BAM-type Cohen-Grossberg neural networks with time delays[J]. Mathematical and Computer Modelling, 2008, 47:92-103.
  • 8J. Cao. New results concerning exponential stability and periodic solutions of delayed cellular neural networks[J]. Phys. Lett. A, 2003, 307: 136-147.
  • 9N. Friedman, M. Linial, I. Nachman, D. Pe'er. Using Bayesian networks to analyze expression data[J]. Jr. Comput. Biol, 2000(7): 601-620.
  • 10C. Chaouiya, E. Remy, P. Ruet, D. Thieffry. Petrinet modelling of biological regulatory networks [J]. J. Disc, 2008(6): 165-177.

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伊犁师范学院学报（自然科学版）
2015年 第1期

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