Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays

2011 ◽  
Vol 22 (8) ◽  
pp. 827-840 ◽  
Author(s):  
Jinliang Liu ◽  
Dong Yue
Keyword(s):  
Robust Stability ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Time Varying ◽  
Fuzzy Genetic

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

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 ◽  
Fuzzy Genetic

Robust stability for uncertain genetic regulatory networks with interval time-varying delays

2010 ◽  
Vol 180 (18) ◽  
pp. 3532-3545 ◽  
Author(s):  
Haixia Wu ◽  
Xiaofeng Liao ◽  
Wei Feng ◽  
Songtao Guo ◽  
Wei Zhang
Keyword(s):  
Robust Stability ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Time Varying ◽  
Interval Time

Robust Stability Analysis for Uncertain Genetic Regulatory Networks with Time-varying Delays

2013 ◽  
Vol 12 (18) ◽  
pp. 4417-4425
Author(s):  
Xinghua Zhang ◽  
Jinmei Xiao ◽  
Shaochun Cui ◽  
Yantao Wang ◽  
Xian Zhang
Keyword(s):  
Stability Analysis ◽  
Robust Stability ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Time Varying ◽  
Robust Stability Analysis

Robust Stability of Discrete-Time Randomly Switched Delayed Genetic Regulatory Networks with Known Sojourn Probabilities

2016 ◽  
Vol 20 (7) ◽  
pp. 1094-1102 ◽  
Author(s):  
Xiongbo Wan ◽  
◽  
Chuanyu Ren ◽  
Jianqi An
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Regulatory Function ◽  
Time Varying ◽  
Stability Criteria ◽  
Constraint Condition ◽  
Delay Dependent ◽  
Delay Dependent Stability

This study investigates stability problems related to discrete-time randomly switched genetic regulatory networks (GRNs) with time-varying delays. A new discrete-time randomly switched GRN model with known sojourn probabilities is proposed. By utilizing the discrete Wirtinger-based inequality and a newly proposed constraint condition on the feedback regulatory function, which have not been fully used in stability analysis of discrete-time GRNs, we establish delay-dependent stability and robust stability criteria. These criteria possess the sojourn probabilities of randomly switched GRNs. Two numerical examples are provided to demonstrate the effectiveness of the established results.

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