Study On Synchronization Control Of Complex Networks And Its Application In Cyber-physical Systems

The paper mainly studies the complex network synchronization control,because the network synchronization is mainly affected by the network topology and node status.Therefore,this paper mainly uses the knowledge of Lyapunov stability theory,matrix theory and algebraic graph theory to focus on the synchronization control of complex networks with interference under switching topology,and the problem of synchronization control with nonlinear information transmission and pulse action.In addition,this paper also studies the synchronization control problem of the cyber-physical system with impulse attack.The main contents of this paper are considered as follows:Firstly,this paper studies the synchronization control of complex networks with communication interference under switching topology.Under the switching connected topology and the jointly connected topology,a robust control protocol is proposed for complex networks with communication interference,and the corresponding synchronization conditions and semi-local synchronization conditions are obtained respectively.By using Lyapunov stability theory,matrix theory and algebraic graph theory,corresponding conditions for convergence analysis are given.Finally,numerical simulations of network systems using Matlab simulation were performed to verify the validity of the theoretical results.Secondly,this paper studies the impulsive synchronization control of complex network with nonlinear coupling is studied.Aiming at two cases of non-interference and interference,a impulsive control protocol is proposed.Combining stability theory,linear matrix inequality and some mathematical foundations,the sufficient conditions for network synchronization are given.Finally,the Matlab simulationsoftware is used to simulate the network to verify the validity of the theoretical results.Thirdly,this paper studies the synchronization control of cyber-physical systems with impulsive attacks.In the case of impulsive attacks,a synchronization control protocol that effectively resists impulsive attacks is proposed.Using Lyapunov stability theory,matrix theory and related theories,the conditions for the system to achieve synchronization are given.Finally,the Matlab simulation software is used to simulate the network to verify the validity of the theoretical results.