Globally Asymptotic Stability Analysis for Genetic Regulatory Networks with Mixed Delays: An M-Matrix-Based Approach

IEEE/ACM Transactions on Computational Biology and Bioinformatics ◽

10.1109/tcbb.2015.2424432 ◽

2016 ◽

Vol 13 (1) ◽

pp. 135-147 ◽

Author(s):

Xian Zhang ◽

Ligang Wu ◽

Jiahua Zou

Keyword(s):

Stability Analysis ◽

Asymptotic Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Mixed Delays ◽

Globally Asymptotic Stability

Download Full-text

Asymptotic stability analysis of genetic regulatory networks with time-varying delay

2010 Chinese Control and Decision Conference ◽

10.1109/ccdc.2010.5498985 ◽

2010 ◽

Author(s):

Hongjie Li ◽

Xiaochun Yang

Keyword(s):

Stability Analysis ◽

Asymptotic Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Time Varying Delay ◽

Download Full-text

New Method to Global Exponential Stability Analysis for Switched Genetic Regulatory Networks With Mixed Delays

IEEE Transactions on NanoBioscience ◽

10.1109/tnb.2020.2971548 ◽

2020 ◽

Vol 19 (2) ◽

pp. 308-314

Author(s):

Lina Zhang ◽

Xinyue Zhang ◽

Yu Xue ◽

Xian Zhang

Keyword(s):

Stability Analysis ◽

Exponential Stability ◽

Global Exponential Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Download Full-text

M-matrix-based globally asymptotic stability criteria for genetic regulatory networks with time-varying discrete and unbounded distributed delays

Neurocomputing ◽

10.1016/j.neucom.2015.10.024 ◽

2016 ◽

Vol 174 ◽

pp. 1060-1069 ◽

Author(s):

Xian Zhang ◽

Yuanyuan Han ◽

Ligang Wu ◽

Jiahua Zou

Keyword(s):

Asymptotic Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Distributed Delays ◽

Time Varying ◽

Stability Criteria ◽

Globally Asymptotic Stability ◽

Unbounded Distributed Delays

Download Full-text

Asymptotic stability analysis of Takagi-Sugeno fuzzy genetic regulatory networks with time-varying delays

2014 International Conference on Mechatronics and Control (ICMC) ◽

10.1109/icmc.2014.7232014 ◽

2014 ◽

Author(s):

Zhicheng Song ◽

Xian Zhang ◽

Xiaoyu Ji

Keyword(s):

Stability Analysis ◽

Asymptotic Stability ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Takagi Sugeno ◽

Download Full-text

Reachable Set Estimation of Switched Genetic Regulatory Networks with Mixed Delays and Bounded Disturbances*

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304129 ◽

2020 ◽

Author(s):

Xian Zhang ◽

Lina Zhang ◽

Yu Xue ◽

Xin Wang ◽

Mouquan Shen ◽

...

Keyword(s):

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Reachable Set ◽

Mixed Delays ◽

Set Estimation ◽

Bounded Disturbances ◽

Reachable Set Estimation

Download Full-text

Robust μ-stability analysis of Markovian switching uncertain stochastic genetic regulatory networks with unbounded time-varying delays

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2012.02.008 ◽

2012 ◽

Vol 17 (10) ◽

pp. 3894-3905 ◽

Author(s):

Xiaodi Li ◽

R. Rakkiyappan ◽

C. Pradeep

Keyword(s):

Stability Analysis ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Markovian Switching ◽

Time Varying ◽

Stochastic Genetic Regulatory Networks

Download Full-text

Further Results on Asymptotic And Finite-time Stability Analysis of Fractional-Order Time-Delayed Genetic Regulatory Networks

Neurocomputing ◽

10.1016/j.neucom.2021.11.088 ◽

2021 ◽

Author(s):

A.Pratap ◽

R.Raja ◽

Ravi P.Agarwal ◽

J.Alzabut ◽

M.Niezabitowski ◽

...

Keyword(s):

Stability Analysis ◽

Fractional Order ◽

Finite Time ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Time Stability ◽

Finite Time Stability

Download Full-text

A non-reduced order approach to stability analysis of delayed inertial genetic regulatory networks

Journal of Experimental & Theoretical Artificial Intelligence ◽

10.1080/0952813x.2020.1735531 ◽

2020 ◽

pp. 1-11

Author(s):

Qian Wang ◽

Hui Wei ◽

Zhiwen Long

Keyword(s):

Stability Analysis ◽

Regulatory Networks ◽

Genetic Regulatory Networks ◽

Download Full-text

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

Download Full-text

Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach

Stochastic Analysis and Applications ◽

10.1080/07362994.2014.962044 ◽

2014 ◽

Vol 32 (6) ◽

pp. 1046-1066 ◽

Author(s):

R. Krishnasamy ◽

P. Balasubramaniam

Keyword(s):

Stability Analysis ◽

Stochastic Stability ◽

Regulatory Networks ◽

Average Dwell Time ◽

Genetic Regulatory Networks ◽

Time Varying ◽

Interval Time ◽

Stochastic Stability Analysis

Download Full-text