Synchronization Of Uncertain Spatiotemporal Networks Based On Sliding Mode Control Technology

In recent years,network synchronization has attracted much attention because of its attractive application prospects in many fields.With the deepening of research,various effective network synchronization technologies have been proposed.Among them,the sliding mode control technology is very popular in network synchronization research because of its strong robustness,fast response and simple physical implementation.To this end,the paper studies the synchronization behavior of the uncertain spatiotemporal networks by means of the sliding mode control technology.The work is as follows:Firstly,the research background,basic models and characteristics of complex networks,the research scope of network dynamics and the research progress at home and abroad are briefly introduced.Then the concept,types,criteria of network synchronization and several typical methods of network synchronization are summarized.The basic principle and research significance of network synchronization using sliding mode control technology are emphatically analyzed.On this basis,the synchronization of continuous uncertain spatiotemporal networks is studied by using sliding mode control technology.By constructing a special Lyapunov function and designing an effective network sliding surface and a network sliding mode controller,the conditions of network synchronization are obtained.At the same time,a special recognition law is designed to effectively identify the unknown parameters contained in the network.Gray-Scott model is used as a node to construct spatiotemporal network for simulation.The results show that network synchronization can be realized quickly,and the good synchronization performance of this scheme is fully verified.Furthermore,the synchronization between discrete uncertain spatiotemporal networks and any given external signals is realized by using sliding mode control technology.The improved synchronization scheme avoids the construction of complex Lyapunov functions,and allows the network topology to be arbitrary.The network synchronization can be achieved by adjusting the parameters contained in the sliding surface.The electro-optic spatiotemporal chaos model is used to simulate the construction of spatiotemporal network with nodes.The results verify the feasibility and universality of the synchronization scheme.