Quasi-synchronization of coupled neural networks with reaction-diffusion terms driven by fractional brownian motion

Author(s):  
Xiaona Song ◽  
Xingru Li ◽  
Shuai Song ◽  
Yijun Zhang ◽  
Zhaoke Ning
2017 ◽  
Vol 227 ◽  
pp. 1-2 ◽  
Author(s):  
Jin-Liang Wang ◽  
Tingwen Huang ◽  
Jinling Liang ◽  
Yang Tang ◽  
Jun Hu

Author(s):  
Dongxiao Hu ◽  
Xiaona Song ◽  
Xingru Li

This work mainly concentrates on the state estimation for Markov jump coupled neural networks (MJCNNs) with reaction-diffusion terms, in which the memory controller is employed. First, the considered MJCNNs model is introduced, and the dynamic error system can be obtained based on the proposed state estimator. Then, a memory controller that involves constant signal transmission delay is designed. Moreover, by Lyapunov functional method, inequality technique and Kronecker product law, a novel stable and extended dissipative analysis criteria can be established to ensure that the stability of the error system the error system. Meanwhile, the controller gains can be obtained by solving linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the developed method.


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