Robust Stability Analysis for Cyclic Gene Regulatory Networks

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr.48.318 ◽

2012 ◽

Vol 48 (6) ◽

pp. 318-325

Author(s):

Syuhei OSAWA ◽

Yutaka HORI ◽

Shinji HARA

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Robust Stability Analysis ◽

Cyclic Gene ◽

Gene Regulatory

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Robust stability analysis for LTI systems with generalized frequency variables and its application to gene regulatory networks

10.1016/j.automatica.2019.03.019 ◽

2019 ◽

Vol 105 ◽

pp. 96-106 ◽

Author(s):

Shinji Hara ◽

Tetsuya Iwasaki ◽

Yutaka Hori

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Robust Stability Analysis ◽

Gene Regulatory

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Mixed H∞/passivity based stability analysis of fractional-order gene regulatory networks with variable delays

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.08.023 ◽

2022 ◽

Vol 192 ◽

pp. 167-181

Author(s):

N. Padmaja ◽

P. Balasubramaniam

Keyword(s):

Stability Analysis ◽

Fractional Order ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Variable Delays ◽

Gene Regulatory

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Robust stability analysis of Markov jump standard genetic regulatory networks with mixed time delays and uncertainties

Neurocomputing ◽

10.1016/j.neucom.2012.09.033 ◽

2013 ◽

Vol 110 ◽

pp. 44-50 ◽

Author(s):

Yanzheng Zhu ◽

Qingrui Zhang ◽

Zuolong Wei ◽

Lixian Zhang

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Time Delays ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Markov Jump ◽

Mixed Time Delays ◽

Robust Stability Analysis

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Time delay effects on oscillation profiles in cyclic gene regulatory networks: Harmonic balance approach

Proceedings of the 2011 American Control Conference ◽

10.1109/acc.2011.5990877 ◽

2011 ◽

Author(s):

Yutaka Hori ◽

Shinji Hara

Keyword(s):

Gene Regulatory Networks ◽

Harmonic Balance ◽

Regulatory Networks ◽

Balance Approach ◽

Delay Effects ◽

Cyclic Gene ◽

Gene Regulatory

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On Delayed Genetic Regulatory Networks With Polytopic Uncertainties: Robust Stability Analysis

IEEE Transactions on NanoBioscience ◽

10.1109/tnb.2008.2000746 ◽

2008 ◽

Vol 7 (2) ◽

pp. 154-163 ◽

Author(s):

Zidong Wang ◽

Huijun Gao ◽

Jinde Cao ◽

Xiaohui Liu

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Robust Stability Analysis ◽

Polytopic Uncertainties

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Robust stability analysis of delayed Takagi–Sugeno fuzzy genetic regulatory networks

Physica Scripta ◽

10.1088/0031-8949/86/06/065003 ◽

2012 ◽

Vol 86 (6) ◽

pp. 065003 ◽

Author(s):

V Vembarasan ◽

P Balasubramaniam ◽

Kurunathan Ratnavelu ◽

N Kumaresan

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Robust Stability Analysis ◽

Takagi Sugeno ◽

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Robust stability analysis of uncertain genetic regulatory networks with mixed time delays

International Journal of Machine Learning and Cybernetics ◽

10.1007/s13042-014-0306-5 ◽

2014 ◽

Vol 7 (6) ◽

pp. 1005-1022 ◽

Author(s):

Xiaowei Zhang ◽

Ruoxia Li ◽

Chao Han ◽

Rong Yao

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Time Delays ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Mixed Time Delays ◽

Robust Stability Analysis

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Impulsive effects on fractional order time delayed gene regulatory networks: Asymptotic stability analysis

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111634 ◽

2022 ◽

Vol 154 ◽

pp. 111634

Author(s):

Mani Mallika Arjunan ◽

Thabet Abdeljawad ◽

Pratap Anbalagan

Keyword(s):

Stability Analysis ◽

Asymptotic Stability ◽

Fractional Order ◽

Gene Regulatory Networks ◽

Regulatory Networks ◽

Impulsive Effects ◽

Gene Regulatory

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Robust stability analysis of stochastic genetic regulatory networks with discrete and distributed delay in both mRNA and protein dynamics

2010 IEEE Conference on Cybernetics and Intelligent Systems ◽

10.1109/iccis.2010.5518588 ◽

2010 ◽

Author(s):

Alireza Salimpour ◽

Mahdi Sojoodi ◽

Vahid Johari Majd

Keyword(s):

Stability Analysis ◽

Protein Dynamics ◽

Robust Stability ◽

Regulatory Networks ◽

Distributed Delay ◽

Genetic Regulatory Networks ◽

Robust Stability Analysis ◽

Stochastic Genetic Regulatory Networks

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Global and Robust Stability Analysis of Genetic Regulatory Networks With Time-Varying Delays and Parameter Uncertainties

IEEE Transactions on Biomedical Circuits and Systems ◽

10.1109/tbcas.2011.2124459 ◽

2011 ◽

Vol 5 (4) ◽

pp. 391-398 ◽

Author(s):

Fang-Xiang Wu

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Parameter Uncertainties ◽

Robust Stability Analysis

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