| Complex network synchronization is widely used in image processing,neural network,information encryption and other fields,and has become an important research topic in network science.Fixed-time synchronization has attracted more and more researchers’ attention due to its fast convergence speed and synchronization within a constant time range.Compared with continuous control,intermittent control has the advantages of less information transmission,low control cost and flexible operation.It is of great research significance and application value to study the theoretical analysis of fixed-time synchronization of coupled delay complex networks by intermittent control.The main research contents of this paper are as follows:(1)The fixed-time synchronization of a class of drive-response networks with hybrid-coupled delayed is investigated.In the network model,internal delay,transmission delay and self-feedback coupling delay are all taken into account.At the same time,external disturbances are also considered in the network model.Then,by introducing and proving a new stability theorem and utilizing periodic intermittent controller,some sufficient conditions are given to ensure the network to achieve fixed-time synchronization.Moreover,the synchronization settling time has nothing to do with the initial value of the network,but only depends on the network size,node dimension and controller parameters.Finally,the validity of the fixed time synchronization theorem is verified by several groups of numerical simulations.(2)The fixed-time synchronization issue of a class of hybrid-coupled delayed complex networks is studied.In order to solve the problem of aperiodic intermittent synchronization,a new stability theorem is proposed.Secondly,an adaptive aperiodic intermittent controller is designed.Then,using Lyapunov theory and aperiodic intermittent control method,some sufficient criteria to ensure the fixed time synchronization of complex networks are obtained.Finally,several groups of numerical simulations are used to prove the effectiveness of the theoretical results.(3)The fixed-time synchronization problem of a class of complex networks with coupled delays is studied.Firstly,a set of new stability theorems are proposed and proved.On this basis,a suitable aperiodic intermittent controller is designed,in which the controller contains fewer control items during working time.Then,by using Lyapunov theory,the sufficient criterion for the network to realize fixed-time synchronization is derived,and the expression of the estimated synchronization stop time is independent of the initial value.Finally,the validity of the synchronization theorem is verified by numerical simulation. |
