Study On Finite-time Synchronization Of Continuous Uncertain Spatiotemporal Networks

In recent years,people pay close attention to the synchronization of complex networks.Various network synchronization technologies have been proposed,and the types of network synchronization are also increasing.Among them,the finite-time synchronization of network shows great practical value because of its advantages of better anti-interference,robustness and low synchronization cost,so it has become one of the hot issues in many research fields.This thesis focuses on the finite-time synchronization of uncertain spatiotemporal networks,the specific work is as follows:In this thesis,the finite-time synchronization of uncertain time-delay spatiotemporal networks is studied by using one-way coupling technique.Based on Lyapunov theorem and finite-time stability theory,an effective synchronization scheme is designed to achieve finite-time synchronization between uncertain time-delay spatiotemporal networks and realize adaptive estimation of coupling coefficients,unknown parameters and coupling matrix elements of uncertain networks.The Fisher-Kolmogorov spatiotemporal model is used as a network node to simulate the finite-time synchronization scheme.Furthermore,the finite-time synchronization of uncertain spatiotemporal networks is studied by using the improved sliding mode control technique.Based on the theory of sliding mode control,by constructing appropriate sliding mode surface and Lyapunov function,the specific form of the network controller and the updating rules of the unknown parameters in the network controller are determined,thus the finite-time synchronization between the uncertain spatiotemporal networks is realized.NS-Buegers model is selected as the network node for numerical simulation to verify the feasibility of the synchronization scheme.The synchronization scheme designed in this thesis is suitable for any topology network,so it has certain universality.