Finite‐time and fixed‐time synchronization of fuzzy Clifford‐valued Cohen‐Grossberg neural networks with discontinuous activations and time‐varying delays

2021 ◽  
Author(s):  
Chaouki Aouiti ◽  
Mayssa Bessifi
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Fixed Time ◽  
Time Varying ◽  
Discontinuous Activations

Global dissipativity and finite-time synchronization of mixed time-varying delayed memristor-based neural networks with discontinuous activations

2021 ◽  
Vol 40 (1) ◽  
pp. 1695-1712
Author(s):  
Kaifang Fei ◽  
Minghui Jiang ◽  
Yadan Zhang
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Matrix Measure ◽  
Feedback Controllers ◽  
Discontinuous Activations ◽  
Inclusion Theory ◽  
Generalized Halanay Inequality

In this paper, the matters of dissipativity and finite time synchronization for memristor-based neural networks (MNNs) with mixed time-varying discontinuities are investigated. Firstly, under the framework of extending Filippov differential inclusion theory, several effective new criteria are derived. Then, the global dissipativity of Filippov solution to neural networks is proved by using generalized Halanay inequality and matrix measure method. Secondly, some novel sufficient conditions are introduced to guarantee the finite-time synchronization of the drive-response MNNs based on a simple Lyapunov function and two different feedback controllers. Finally, several numerical examples are given to verify the validity of the theoretical results.

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