Outer Synchronization Of Uncertain Spatiotemporal Networks Based On OPCL Technology

Synchronization of complex networks is common in nature.More importantly,it is widely used in production practice.At present,more mature network synchronization technologies mainly include: adaptive method,feedback control method,coupling synchronization method,open-plus-closed-loop technology and sliding mode control technology,etc.Among them,open-plus-closed-loop technology has developed rapidly in recent years with its advantages of simplicity and practicality.Therefore,this paper studies the outer synchronization of continuous and discrete spatiotemporal networks using open-plus-closed-loop techniques.Firstly,the research background and content of complex networks are briefly introduced.At the same time,the dynamic behavior of complex networks is analyzed,and its research significance is summarized.Secondly,it introduces the application of network synchronization,research status at home and abroad,synchronization criteria and common synchronization types.Among them,the control principle of open-plus-closed-loop technology is emphatically analyzed.On this basis,by constructing an appropriate open-plus-closed-loop dynamic compensation controller,the outer synchronization problem of two discrete spatiotemporal networks with uncertain parameters is studied.Two target and response networks with uncertain parameters are constructed.By constructing a special Lyapunov function and designing an open-plus-closed-loop dynamic compensation controller,the conditions for network synchronization are obtained.In the process of realizing synchronization,the uncertain parameters in the network are effectively identified.Furthermore,the laser spatiotemporal network model is selected for simulation,which verifies the rationality of the designed control scheme.This synchronization technology allows the target and response networks to have different topologies,so it has strong practicability.Further expand the research object from discrete spatiotemporal network to continuous spatiotemporal network.The synchronization behavior of two continuous spatiotemporal networks with unknown parameters is studied by using open-plus-closed-loop coupling control technology.The node state equations of the target and response networks are constructed.Based on Lyapunov stability theory,a special Lyapunov function is constructed to determine the functional form of open-plus-closed-loop coupling terms in the network.Atthe same time,the identification law of unknown parameters in the network node state equation is given,which effectively replaces the uncertain parameters in the network,thus obtaining the condition of network synchronization.The Activator-Inhibitor model is selected for numerical simulation to verify the effectiveness of the design scheme.