Finite-Time Stabilizability and Instabilizability for Complex-Valued Memristive Neural Networks With Time Delays

2018 ◽  
Vol 48 (12) ◽  
pp. 2371-2382 ◽  
Author(s):  
Ziye Zhang ◽  
Xiaoping Liu ◽  
Donghua Zhou ◽  
Chong Lin ◽  
Jian Chen ◽  
...  
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Time Delays ◽  
Memristive Neural Networks ◽  
Complex Valued

scholarly journals Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Ziye Zhang ◽  
Xiaoping Liu ◽  
Chong Lin ◽  
Bing Chen
Keyword(s):  
Neural Networks ◽  
Lyapunov Function ◽  
Recurrent Neural Networks ◽  
Finite Time ◽  
Time Delays ◽  
Time Synchronization ◽  
Great Difficulty ◽  
Activation Functions ◽  
Complex Valued ◽  
Independent Parameters

This paper focuses on the finite-time synchronization analysis for complex-valued recurrent neural networks with time delays. First, two kinds of common activation functions appearing in the existing references are combined together and more general assumptions are given. To achieve our aim, a nonlinear delayed controller with two independent parameters different from the existing ones is provided, which leads to great difficulty. To overcome it, a newly developed inequality is used. Then, via Lyapunov function approach, some criteria are derived to guarantee the finite-time synchronization of the considered system, and the settling time for synchronization is also estimated. Finally, two numerical simulations are given to support the effectiveness and advantages of the obtained results.

Finite-time synchronization of memristor-based complex-valued neural networks with time delays

2019 ◽  
Vol 383 (19) ◽  
pp. 2255-2263 ◽  
Author(s):  
Kaili Sun ◽  
Song Zhu ◽  
Yongchang Wei ◽  
Xiaoke Zhang ◽  
Fei Gao
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Time Delays ◽  
Time Synchronization ◽  
Complex Valued
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