Research On The Synchronization Of Two Classes Of Delayed Discontinuous Neural Networks

Neural network is a parallel and distributed mathematical model of information processing function based on human perception of brain organization and thinking mechanism through network transformation and dynamic behavior,which is similar to the connecting structure of brain synapses.It is a technology that exists in a wide range of disciplines.Many researchers have found that in the real neural network model,the information transmission between neurons is carried out in a discontinuous way,and the transmission of transmitters between synapses sometimes appears delayed phenomenon.Therefore,the study of delay discontinuous neural network model has a certain practical significance.From the point of view of synchronization dynamics,this thesis first studies the global exponential synchronization of delayed discontinuous complex-valued recurrent neural networks,and establishes sufficient conditions for the global exponential synchronization of delayed complex-valued recurrent neural networks.Secondly,on the basis of neural network model with discontinuous activation function,considering the influence of reaction-diffusion and fuzzy logic on Hopfield neural networks,the finite-/fixed time synchronization problem of diffusion fuzzy Hopfield neural networks is studied.In terms of research methods,in the framework of differential inclusion theory,combined with Filippov differential inclusion theory,divergence theorem,differential inequality technique,nonsmooth analysis and other theories,a new state feedback controller is designed to realize the synchronization of neural network models.The theoretical results obtained summarize and improve the existing literature.The theory and method of discontinuous activation function are deepened and perfected,and these methods are applied to fields such as control engineering.The research results,on the one hand,can enrich the theory of qualitative and stability of differential equations,on the other hand,can also play a certain guiding role for the practical application discipline,especially for the development of engineering technology field,and hope to have a more profound understanding of intelligent control theory.Finally,the effectiveness of the research method and the accuracy of the research results are proved by numerical example.Figure[2]Table[0]Reference[116]...