Study On Exponential And Out Synchronization Of Continuous Uncertain Delay Networks

Synchronization of complex networks exists widely in nature and human society,which has attracted extensive attention from researchers.The synchronization phenomenon of the network not only provides a lot of convenience for our life,but also plays an irreplaceable role in promoting the development of society and the progress of science and technology.In particular,the research on the synchronization problem of the space-time network has more practical significance.Therefore,this paper focuses on the study of the synchronization problem of continuous spatiotemporal network.The specific work is as follows:Firstly,the research background,basic characteristics,basic models and the research scope of network dynamics of complex networks are briefly introduced,and the types,criteria and typical synchronization methods of network synchronization are summarized.At the same time,the research status and application of complex network synchronization at home and abroad are introduced.On this basis,the exponential synchronization problem between the continuous time-delay space-time network and the target system is studied.Based on the Lyapunov stability principle,the Lyapunov-Krasovskii functional with exponential form is designed,and the form of the synchronization controller is determined,so that the time-delay space-time network and the target system can achieve exponential synchronization.Furthermore,Fisher-Kolmogorov system is selected as the network node to verify the rationality of the synchronization scheme.The effect of time delay factor on network synchronization performance is fully considered in this technology,which makes the synchronization scheme more practical.Moreover,exponential synchronization technology can effectively adjust the speed of network synchronization.The external synchronization problem of continuous uncertain spatiotemporal networks is further studied.By designing a special Lyapunov function and an effective adaptive law,not only the external synchronization between the space-time networks is realized,but also the unknown parameters in the networks are effectively identified.Finally,the Bgers system is used as a node to construct the driving and response network for simulation,which verifies the effectiveness of the synchronization strategy.