The State Estimation And Synchronization Of Complex Dynamical Networks

In this paper, we study a state estimation method of complex dynamic networks.êêSuppose a large complex network with no node states accessible, by designing a suitable state observer, we can achieve the estimation of all the states in this network. Future more, we apply the estimation method to the synchronization of complex dynamical networks. The main research work and results are as follows:First, we study the state estimation problem of state coupling model. In consideration of the noise, we design the observer with the state variables, and then calculate the observer parameters according to the Lyapunov theory. In the end, we take BA scale-free network and WS small-world network respectively as two typical models to demonstrate the feasibility of the above schemes.Second, as to the disadvantages of the state coupling model, a more practical output coupling model is addressed in this section. In consideration of the noise, we use the more accessible output variables to design the observer, and calculate the observer parameters according to the Lyapunov theory. In the end, we take BA scale-free network and WS small-world network respectively as two typical models to demonstrate the feasibility of the above schemes. This method is more applicable in practical engineering.Third, based on the state estimation, we study the method of inner synchronization, which is to achieve synchronization through the estimated state when all the state variables in the information cannot be obtained directly, design method of complex dynamic network, which in all state variables of the internal network information cannot be obtained directly. In simulation, we take BA scale-free network and WS small-world network respectively as two typical models to demonstrate the synchronization of the original network.