Finite-time synchronization of fractional-order gene regulatory networks with time delay

2020 ◽  
Vol 126 ◽  
pp. 1-10 ◽  
Author(s):  
Yuanhua Qiao ◽  
Hongyun Yan ◽  
Lijuan Duan ◽  
Jun Miao
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Gene Regulatory Networks ◽  
Finite Time ◽  
Regulatory Networks ◽  
Time Synchronization ◽  
Gene Regulatory

Global stability analysis of fractional-order gene regulatory networks with time delay

2019 ◽  
Vol 12 (06) ◽  
pp. 1950067 ◽  
Author(s):  
Zhaohua Wu ◽  
Zhiming Wang ◽  
Tiejun Zhou
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Gene Regulatory Networks ◽  
Existence And Uniqueness ◽  
Regulatory Networks ◽  
Lyapunov Method ◽  
Regulation Mechanism ◽  
Global Stability Analysis ◽  
Gene Regulatory ◽  
The Stability

Fractional-order gene regulatory networks with time delay (DFGRNs) have proven that they are more suitable to model gene regulation mechanism than integer-order. In this paper, a novel DFGRN is proposed. The existence and uniqueness of the equilibrium point for the DFGRN are proved under certain conditions. On this basis, the conditions on the global asymptotic stability are established by using the Lyapunov method and comparison theorem for the DFGRN, and the stability conditions are dependent on the fractional-order [Formula: see text]. Finally, numerical simulations show that the obtained results are reasonable.

scholarly journals Finite-Time Stability of Fractional-Order Time-Varying Delays Gene Regulatory Networks with Structured Uncertainties and Controllers

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Zhaohua Wu ◽  
Zhiming Wang ◽  
Tiejun Zhou
Keyword(s):  
Fractional Order ◽  
Gene Regulatory Networks ◽  
Finite Time ◽  
Regulatory Networks ◽  
State Feedback ◽  
Time Varying ◽  
Time Stability ◽  
Feedback Controllers ◽  
Finite Time Stability ◽  
Gene Regulatory

In this paper, we investigate a class of fractional-order time-varying delays gene regulatory networks with structured uncertainties and controllers (DFGRNs). Our contributions lie in three aspects: first, a necessary and sufficient condition on the existence of the solution for the DFGRNs is given by using the properties of the Riemann–Liouville fractional derivative and Caputo’s fractional derivative; second, the unique solution of the DFGRNs is proved under given initial function and certain condition; third, some novel sufficient conditions on finite-time stability of the DFGRNs are established by using a generalized Gronwall inequality and norm technique, and some conclusions on the finite-time stability of the DFGRNs with memory state-feedback controllers are reached, and those conditions and conclusions depend on the fractional order of the DFGRNs. One of the most interesting findings is that the “estimated time” of the finite-time stability is indeed related to the structured uncertainties, state-feedback controllers, time delays, and the fractional order of the system.

Finite-time adaptive stability of gene regulatory networks

2019 ◽  
Vol 338 ◽  
pp. 222-232 ◽  
Author(s):  
Lulu Wu ◽  
Kexin Liu ◽  
Jinhu Lü ◽  
Haibo Gu
Keyword(s):  
Gene Regulatory Networks ◽  
Finite Time ◽  
Regulatory Networks ◽  
Gene Regulatory

scholarly journals Using GeneReg to construct time delay gene regulatory networks

2010 ◽  
Vol 3 (1) ◽  
Author(s):  
Tao Huang ◽  
Lei Liu ◽  
Ziliang Qian ◽  
Kang Tu ◽  
Yixue Li ◽  
...  
Keyword(s):  
Time Delay ◽  
Gene Regulatory Networks ◽  
Regulatory Networks ◽  
Gene Regulatory
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