scholarly journals Synchronization of Time-Varying Delayed Neural Networks by Fixed-Time Control

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 74240-74246 ◽  
Author(s):  
Yuhua Xu ◽  
Xiaoqun Wu ◽  
Chao Xu
2018 ◽  
Vol 23 (6) ◽  
pp. 904-920 ◽  
Author(s):  
Jingting Hu ◽  
Guixia Sui ◽  
Xiaoxiao Lv ◽  
Xiaodi Li

This paper is concerned with the fixed-time stability of delayed neural networks with impulsive perturbations. By means of inequality analysis technique and Lyapunov function method, some novel fixed-time stability criteria for the addressed neural networks are derived in terms of linear matrix inequalities (LMIs). The settling time can be estimated without depending on any initial conditions but only on the designed controllers. In addition, two different controllers are designed for the impulsive delayed neural networks. Moreover, each controller involves three parts, in which each part has different role in the stabilization of the addressed neural networks. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical analysis.


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