Tracking control for fractional-order uncertain systems based on the indirect Lyapunov method

Author(s):  
Ruijuan Liu ◽  
Zhiqiang Qin ◽  
Zhuoyun Nie
Author(s):  
Changhui Wang ◽  
Xiao Li ◽  
Limin Cui ◽  
Yantao Wang ◽  
Mei Liang ◽  
...  

2019 ◽  
Vol 12 (06) ◽  
pp. 1950067 ◽  
Author(s):  
Zhaohua Wu ◽  
Zhiming Wang ◽  
Tiejun Zhou

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.


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