Study On Impulsive Control Of Complex Dynamical Networks

Along with the society gradually networking, the study of complex dynamical networks has penetrated into many fields. As a safe and efficient control method, impulsive control of complex dynamical networks has been widely used in communication networks, satellite orbit, etc.Pulse control as a discrete control can not be replaced in many fields of application. Therefore, it plays an important role in the field of scientific research, and is often designed using output variables. In this paper, we mainly study the control of the networks of state coupling model and output coupling model by using output impulsive control. Based on the study, we also consider the phenomenon of time-delay. The main research contents are as follows:Firstly, the impulsive synchronization of state coupling delays of complex dynamical networks is introduced, and the impulsive controllers designed by state variables are analyzed.Secondly, the impulsive synchronization of output coupling delays of complex dynamical networks is studied, using the outputs as the impulsive control quantity. The stability of the error system and parameter design are proved by Lyapunov stability theory, and the complex dynamical networks can become synchronization by using the impulsive controller through simulations.Thirdly, the impulsive synchronization of output coupled time-varying delay complex dynamical networks is studied, using output variables as impulsive controller. Comparison principle and Lyapunov equations are used to prove the global synchronization of impulsive system. At the same time, numerical simulation has been performed to prove the effectiveness of the method.Finally, the impulsive synchronization of state coupled time-varying delay complex dynamical networks is also studied, using output variables as impulsive controller. The global synchronization are also proved by comparison principle and Lyapunov theory.