Adaptive Synchronization for Neural Networks with Multiple Time-Delays and Lévy Noise

2021 ◽  
pp. 247-255
Author(s):  
Dongbing Tong ◽  
Qinfeng Zhang ◽  
Yaoqing Xi ◽  
Shizhen Zheng ◽  
Rihui Liu
Keyword(s):  
Neural Networks ◽  
Time Delays ◽  
Adaptive Synchronization ◽  
Lévy Noise ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Levy Noise

scholarly journals Stochastic Synchronization of Neutral-Type Neural Networks with Multidelays Based onM-Matrix

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Wuneng Zhou ◽  
Xueqing Yang ◽  
Jun Yang ◽  
Jun Zhou
Keyword(s):  
Neural Networks ◽  
Time Delays ◽  
Neutral Type ◽  
Linear Matrix ◽  
Control Law ◽  
Multiple Time ◽  
Matrix Inequality ◽  
Stochastic Disturbance ◽  
Stochastic Synchronization ◽  
Multiple Time Delays

The problem of stochastic synchronization of neutral-type neural networks with multidelays based onM-matrix is researched. Firstly, we designed a control law of stochastic synchronization of the neural-type and multiple time-delays neural network. Secondly, by making use of Lyapunov functional andM-matrix method, we obtained a criterion under which the drive and response neutral-type multiple time-delays neural networks with stochastic disturbance and Markovian switching are stochastic synchronization. The synchronization condition is expressed as linear matrix inequality which can be easily solved by MATLAB. Finally, we introduced a numerical example to illustrate the effectiveness of the method and result obtained in this paper.

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