Analysis And Control Of Complex Dynamic Networks Based On Event-triggered Mechanism

Complex network has been concerned by many scholars because of its wide application.Synchronization,as a typical collective behavior of complex networks,has been widely studied in sociology and engineering fields.For the synchronization problem of complex networks,event-triggered mechanism is adopted because of its great advantage in saving system resources.This mechanism provides an efficient way to control the update of the actuator,i.e.,one task is executed only when a specific event is triggered.Although the related work of complex networks based on event triggering mechanism has been discussed by some scholars,there are still some problems to be solved.Firstly,most of the current studies on the synchronization of complex networks do not consider the influence of time delay on synchronization.However,time delay often occurs in the actual system because of sampling,signal transmission,controller calculation and network bandwidth and other factors.Second,the proposed event triggering mechanism is usually static in the existing research on synchronization of complex networks.It is not as effective as the corresponding dynamic event-triggered mechanism in saving system resources.Thirdly,event-triggered mechanism usually needs to be equipped with event detectors for continuously monitoring,while self-triggered mechanism can well avoid this disadvantage.Unfortunately,little research has been done on synchronization of complex networks based on the self-triggered mechanism.In order to solve the problems mentioned above,the mathematical model of delayed complex network based on event-triggered communication is established.Especially,a new dynamic event-triggered mechanism is presented.This mechanism contains an internal dynamic variable that plays a crucial role in avoiding the Zeno phenomenon.By constructing proper Lyapunov functions and the stability theory of differential equations,sufficient conditions for the synchronization of delayed complex networks are given.In order to avoid continuous monitoring of triggering conditions,this thesis proposes an effective self-triggered mechanism.By using the generalized Gronwall inequality,we not only give sufficient conditions for the synchronization of delayed complex networks,but also clearly estimate the lower bound the inter-event time of the self-triggered mechanism.