Stability and Bifurcation Analysis of Cyclic Genetic Regulatory Networks with Mixed Time Delays

2015 ◽  
Vol 14 (1) ◽  
pp. 202-220 ◽  
Author(s):  
Guang Ling ◽  
Zhi-Hong Guan ◽  
Rui-Quan Liao ◽  
Xin-Ming Cheng
Keyword(s):  
Bifurcation Analysis ◽  
Time Delays ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Mixed Time Delays ◽  
Stability And Bifurcation ◽  
Stability And Bifurcation Analysis

scholarly journals Delay-dependent passivity analysis of nondeterministic genetic regulatory networks with leakage and distributed delays against impulsive perturbations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
S. Senthilraj ◽  
T. Saravanakumar ◽  
R. Raja ◽  
J. Alzabut
Keyword(s):  
Time Delays ◽  
Regulatory Networks ◽  
Functional Method ◽  
Genetic Regulatory Networks ◽  
Distributed Delays ◽  
Mixed Time Delays ◽  
Stochastically Stable ◽  
Impulsive Perturbations ◽  
Stochastic Genetic Regulatory Networks ◽  
Delay Dependent

AbstractThis work is concerned with the problem for stochastic genetic regulatory networks (GRNs) subject to mixed time delays via passivity control in which mixed time delays consist of leakage, discrete, and distributed delays. The main aim of this paper is constructing a passivity-based criteria under impulsive perturbations such that the proposed GRNs are stochastically stable. Based on the Lyapunov functional method and Jensen’s integral inequality, we obtain a new set of novel passivity based delay-dependent sufficient condition in the form of LMIs, which can be determined via existing numerical software. Finally, we propose numerical simulations to show the efficiency of the proposed method.

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