Research On Consensus Of Multiple System And Synchronization Of Cohen-Grossberg Neural Network

The consensus of multiple system and synchronization of neural network are both important and special phenomena.In multiple system,a group of cooperating individuals need to agree on a certain amount of interest in order to achieve a common goal.This is what is commonly referred to as the consensus problem.The synchronization problem means the fact that the individual states of the network system achieve unity over time.The phenomenon of consensus of multiple system and synchronization of neural network is a hot issue in the research of complex networks.In the first chapter of this article,the relevant background,research significance,and extensive application of networks are introduced briefly.The current research about the consensus of multiple system and synchronization of neural network are also presented simply.Next,in the second chapter,the relevant mathematical models,definitions,important lemmas about the consensus of multiple system and synchronization of neural network are introduced briefly.In the third chapter,the consensus of multi-agent system with time delayed edge is researched.Firstly,the transformation from the original multi-agent system graphs to the line graphs is used to convert the edge model of multi-agent system into a common node model.By demonstrating the stability of the systerm equivalent to the original systerm to obtain the consensus judgments of the edges multi-agent system with time delays in continuous and discrete time,respectively.Finally,numerical simulations experiments are used to verify the correctness of our theoretical results.In the fourth Chapter,we investigate the synchronization of the Cohen-Grossberg neural network with Dirichlet boundary conditions or Neumann boundary conditions.The aperiodic intermittent control strategy is used to synchronize the Cohen-Grossberg neural network.By using the Lyapunov method,synchronization criteria for the Cohen-Grossberg neural network is obtained.In the simulation part,the three-dimensional network synchronization simulation image can be a good interpretation of the synchronization theory we obtained.In the final part of the summary,we summarize this thesis from the structure to the specific content and give open problems about the research issues.