| The complex network system is a complex dynamic network composed of n nodes,and the complex network is composed of each node connected to each other.Research on the stability of complex network systems is closely linked in academic and life.In practice,the performance of the network depends on the stability of the network.Therefore,it is very necessary to analyze the stability of linear complex networks and nonlinear complex networks.In this paper,the research on complex network systems is mainly based on Lyapunov stability theory.Stability analysis of linear complex network systems and stability analysis of nonlinear complex network systems are studied.The main research contents of this paper include the following aspects:Frist at all,the stability analysis of the linear complex network system is studied.the linear complex network system is established.Secondly,the docking relationship between the two subsystems and the influence of different network coupling nodes on the network system are considered when switching time nodes.The calculation is mainly based on Lyapunov stability theory and Kronecker product calculation method.Then,the validity of the results is verified by linear matrix inequality(LMIs).Finally,the correctness and validity of the theoretical results are verified by MATLAB drawing simulation.Next,the stability analysis of complex network system composed of nonlinear coupling nodes is studied.In view of the network coupling matrixexisting in the system,the method of analyzing the stability of complex network systems by converting the switching points of subsystems into discrete points is considered,and the n-dimensional complex network systems are converted into Kronecker products for calculation.Combined with Lyapunov stability determination method as the basis,sufficient conditions to meet the stability of complex network system are obtained.Finally,a numerical example is given to verify the effectiveness of the proposed method. |
PDF Full Text Request