Research Of Synchronization Of Complex Dynamical Networks Based On Controller

With the in-depth development of complex network research and the continuous expansion of research fields,abstracting complex systems into complex networks to study,establishing system models and combining complex network system theory to study specific problems has become one of the important methods for studying complex systems.Synchronization of complex network system nodes is common in various complex systems.Therefore,it is of great practical and theoretical value to study the synchronization control problem of complex networks.With the development of science and technology,it has become a common trend to use computers to effectively control equipment in control systems.The computer input signal must be discrete,and the sampling control is to discretize the continuous system.Therefore,sampling data control technology has advantages over other control methods.The main contents of this paper are as follows:Firstly,a sampling feedback controller is added to the system,combined with Jensen's inequality and convex combination function to differentiating Lyapunov function,the criterion of synchronization of complex network systems is obtained.Selecting parameters to analysis the feasibility and practical application of the proposed method through numerical examples.Secondly,establishing a suitable Lyapunov function and designing a sampling feedback controller,based on Jensen's inequality,one can obtain the criterion of finite-time synchronization of complex networks with Markovian jump and time-vary delays.the numerical examples are selected to simulate the parameters,which proves the feasibility of the synchronization criterion in this part.Finally,the sampling exponential synchronization of T-S fuzzy complex dynamic network system is studied.The Lyapunov function with sampling discretization is established,by using a series of inequalities and convex combination function,the criterion for the system to achieve exponential synchronization of sampling is obtained.Finally,a numerical example is given to verify the correctness of the conclusion.