scholarly journals Mean square exponential and robust stability of stochastic discrete-time genetic regulatory networks with uncertainties

2010 ◽  
Vol 4 (2) ◽  
pp. 165-176 ◽  
Author(s):  
Qian Ye ◽  
Baotong Cui
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Mean Square

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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