Continuous finite-time stabilization for some classes of fractional order dynamics

2012 ◽  
Author(s):  
Alessandro Pisano ◽  
Milan R. Rapaic ◽  
Elio Usai ◽  
Zoran D. Jelicic
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Finite Time Stabilization

scholarly journals Finite-time stabilization for fractional-order inertial neural networks with time varying delays

2022 ◽  
Vol 27 (1) ◽  
pp. 1-18
Author(s):  
Chaouki Aouiti ◽  
Jinde Cao ◽  
Hediene Jallouli ◽  
Chuangxia Huang
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Analytical Techniques ◽  
Control Algorithms ◽  
First Order ◽  
Inertial Neural Networks ◽  
Fractional Differential ◽  
Variable Substitution ◽  
Finite Time Stabilization ◽  
Delay Dependent

This paper deals with the finite-time stabilization of fractional-order inertial neural network with varying time-delays (FOINNs). Firstly, by correctly selected variable substitution, the system is transformed into a first-order fractional differential equation. Secondly, by building Lyapunov functionalities and using analytical techniques, as well as new control algorithms (which include the delay-dependent and delay-free controller), novel and effective criteria are established to attain the finite-time stabilization of the addressed system. Finally, two examples are used to illustrate the effectiveness and feasibility of the obtained results.

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