Stability of stochastic genetic regulatory networks

被引:0
|
作者
Sun, Yonghui [1 ]
Feng, Gang [1 ]
机构
[1] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China
来源
OPTIMIZATION AND SYSTEMS BIOLOGY, PROCEEDINGS | 2008年 / 9卷
关键词
Gene Networks; Noise Disturbance; Stability;
D O I
暂无
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper studies the stochastic stability of genetic regulatory networks with intrinsic and extrinsic noises. A delay dependent stability condition with disturbance attenuation is derived for the stochastic genetic networks with time-varying delays. The developed criteria can be tested efficiently by Matlab LMI Control Toolbox. A numerical example with simulations is given to illustrate the effectiveness and validity of the derived theoretical results.
引用
收藏
页码:123 / 129
页数:7
相关论文
共 50 条
  • [21] Input-to-state stability of stochastic Markovian jump genetic regulatory networks
    Cao, Yang
    Chandrasekar, A.
    Radhika, T.
    Vijayakumar, V.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 222 : 174 - 187
  • [22] Exponential Stability of Stochastic Genetic Regulatory Networks with Interval Uncertainties and Multiple Delays
    Zhi Li
    Ke Chen
    Arabian Journal for Science and Engineering, 2014, 39 : 6507 - 6520
  • [23] Stochastic Stability of Switched Genetic Regulatory Networks With Time-Varying Delays
    Zhang, Wenbing
    Tang, Yang
    Wu, Xiaotai
    Fang, Jian-An
    IEEE TRANSACTIONS ON NANOBIOSCIENCE, 2014, 13 (03) : 336 - 342
  • [24] Robust Stability of Stochastic Genetic Regulatory Networks with Time-varying Delays
    Wang, Zhengxia
    Mao, Jiali
    Liu, Guodong
    Wu, Haixia
    ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 2, PROCEEDINGS, 2008, : 527 - +
  • [25] Comment on: robust stability of stochastic genetic regulatory networks with discrete and distributed delays
    Salimpour, Alireza
    Majd, Vahid Johari
    Sojoodi, Mahdi
    SOFT COMPUTING, 2011, 15 (04) : 769 - 770
  • [26] Stochastic stability of Markovian jumping genetic regulatory networks with mixed time delays
    Zhang, Wenbing
    Fang, Jian-an
    Tang, Yang
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (17) : 7210 - 7225
  • [27] On the Stability of Piecewise Genetic Regulatory Networks
    Li, Jiewei
    Chesi, Graziano
    Shen, Tiandan
    WORLD CONGRESS ON ENGINEERING - WCE 2013, VOL II, 2013, : 1391 - 1396
  • [28] Stochastic stability for uncertain genetic regulatory networks with interval time-varying delays
    Wu, Haixia
    Liao, Xiaofeng
    Guo, Songtao
    Feng, Wei
    Wang, Zhengxia
    NEUROCOMPUTING, 2009, 72 (13-15) : 3263 - 3276
  • [29] DETERMINISTIC AND STOCHASTIC MODELS OF GENETIC REGULATORY NETWORKS
    Shmulevich, Ilya
    Aitchison, John D.
    METHODS IN ENZYMOLOGY: COMPUTER METHODS, PART B, 2009, 467 : 335 - 356
  • [30] On Robust Stability of Stochastic Genetic Regulatory Networks With Time Delays: A Delay Fractioning Approach
    Wang, Yao
    Wang, Zidong
    Liang, Jinling
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (03): : 729 - 740