| Recently,some important progresses have been made in the study of complex systems from the view point of complex networks.The system is regarded as a whole,and the effect of the interaction between individuals on the whole system behavior is considered the overall system.Behavior can be better predicted.Synchronization behavior of complex dynamical networks can well explain many common phenomena in the natural world and the field of engineering.Research on synchronization phenomena in networks with complex topologies has become an important topic in the area of complex network research.In this thesis,based on uncertain coupled complex networks,time-delay coupled complex networks,and network topology changes with time to do the following work:Firstly,we consider the problem of control in uncertain generic complex network.For generic complex networks with unknown dynamics of nodes and unknown coupling functions including uniform and nonuniform inner couplings.Design liner control via Lyapunov stability theory.When uncertain coupling complex networks can achieve synchronization,the state of network nodes was controlled to an arbitrary assigned state of an isolated node of the network.Through the nodes of Lorenz system as the complex network are simulated,we proved the feasibility of the conclution.Secondly,the index synchronization of time-delay coupling complex networks is studied in this thesis.In this network model,time-delay direct the connected the node to the node.When there is not interaction between nodes and nodes,there is not delay.For this model of network the adaptive control is designed to achieve index synchronization.Via the examples of numerical simulation,the proposed synchronization control methed is feasible.At last,the synchronization control of complex network with time-varing coupling is studied by the moved nodes in two-dimensional space.Because the nodes of network is moving and only connected with the nodes in the role of radius,so the coupling matrix is time-varing.The mobile agent network can achieve index synchronization by application of the decentralized control.Numerical example of Rossler complex network is also given to illustrate the result is feasible. |
