scholarly journals The stability of memristive multidirectional associative memory neural networks with time-varying delays in the leakage terms via sampled-data control

PLoS ONE ◽  
2018 ◽  
Vol 13 (9) ◽  
pp. e0204002
Author(s):  
Weiping Wang ◽  
Xin Yu ◽  
Xiong Luo ◽  
Long Wang ◽  
Lixiang Li ◽  
...  
Keyword(s):  
Neural Networks ◽  
Associative Memory ◽  
Time Varying ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
The Stability

scholarly journals Synchronization of a Class of Memristive Stochastic Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays via Sampled-Data Control

2018 ◽  
Vol 2018 ◽  
pp. 1-24 ◽  
Author(s):  
Manman Yuan ◽  
Weiping Wang ◽  
Xiong Luo ◽  
Chao Ge ◽  
Lixiang Li ◽  
...  
Keyword(s):  
Neural Networks ◽  
Associative Memory ◽  
Stochastic Perturbation ◽  
Mixed Delays ◽  
Time Varying ◽  
Sampled Data ◽  
Bidirectional Associative Memory ◽  
Data Control ◽  
Sampled Data Control ◽  
Data Controller

The paper addresses the issue of synchronization of memristive bidirectional associative memory neural networks (MBAMNNs) with mixed time-varying delays and stochastic perturbation via a sampled-data controller. First, we propose a new model of MBAMNNs with mixed time-varying delays. In the proposed approach, the mixed delays include time-varying distributed delays and discrete delays. Second, we design a new method of sampled-data control for the stochastic MBAMNNs. Traditional control methods lack the capability of reflecting variable synaptic weights. In this paper, the methods are carefully designed to confirm the synchronization processes are suitable for the feather of the memristor. Third, sufficient criteria guaranteeing the synchronization of the systems are derived based on the derive-response concept. Finally, the effectiveness of the proposed mechanism is validated with numerical experiments.

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