The Pinning Synchronization Of The Two Types Of Coupled Neural Networks

In recent years,the synchronization of the coupled neural networks has been studied by researchers in different fields.However,there are few studies on the synchronization of the coupled neural networks.On the other hand,considering the diffusion phenomenon is unavoidable in the neural network,it is very meaningful to further study the coupled reaction diffusion neural network model.As far as we know,there is very little research on the problem of the synchronization of the coupled reactive diffusion neural networks.The main contents of this paper are as follows:1.Synchronization for coupled reaction-diffusion neural networks with and without multiple time-varying delays via pinning-controlBy utilizing pinning control technique and choosing appropriate Lyapunov functionals,we analyze synchronization of these network models.Firstly,by using some inequality techniques,a synchronization criterion is derived for CRDNNs.Secondly,in order to obtain appropriate coupling strength,an adaptive strategy is also developed.Furthermore,we generalize these results to the model of CRDNNs with multiple time-varying delays.Two illustrate examples including numerical simulations are presented to indicate the correctness of our results.2.Pinning synchronization of complex dynamical networks with and without time-varying delayBy designing suitable pinning control schemes,several synchronization criteria are derived for these proposed network models.Moreover,some adaptive strategies are developed to get proper coupling strength for the first network model.For the second network model,we give several synchronization criteria by utilizing the designed pinning adaptive feedback controllers.Finally,two numerical examples indicate that complex dynamical networks with and without time-varying delay can achieve synchronization by pinning a small fraction of nodes.