Some Novel Control Schemes For Event-Triggered Synchronization Of Nonlinear Dynamical Networks

Synchronization may emerge in large-scale coupled systems,and has found many phenomenal engineering applications in practice.With the rapid development of complex network theory,tremendous attention has been paid to typical issues emerged in practice.In this thesis,the synchronization problem of networked nonlinear agents are studied extensively.Some event-based control protocols are formulated.Three synchronization problems are studied in this thesis,namely;Event-Based Synchronization of Nonlinear Dynamical Networks With Switching Topologies,Event-Triggered Synchronization of Switching Dynamical Networks With Periodic Sampling and Synchronization of Directed Multi-Agent Networks With Event-Triggered Control.The first work is devoted to the event-triggered synchronization of nonlinear dynamical networks with periodically switching topologies.By designing some time-and statedependent triggering condition,some sufficient conditions in terms of the nodal dynamics,network topology,and triggering parameters are given to reach synchronization,which reveals the substantial role of the algebraic connectivity in reaching synchronization.Secondly,this thesis investigates event-triggered synchronization of switching dynamical networks with periodic sampling.Here the control protocol is developed by incorporating sampled-data-based event-triggering with switching topological structure.The synchronization problem is converted into the stability of a delay differential equation with time-varying coefficient.Synchronization is guaranteed under some state-dependent triggering condition and the largest admissible period is also deduced.Thirdly,a work on the synchronization problem of mullti-agent networks under directed graph with time-varying coupling strength is also investigated.Here,the statedependent and time-dependent time triggering are combined to guarantee synchronization.The effeciency of this control protocol is verified by Lyapunov stability theorem based on laborous mathematical proof.Instead of stipulating a lower bound for the control gain,as usually proposed by others,we allow for higher flexibility in controller design by relying on the time average of the control gain.Numerical simulations are finally given to verify the validity of all the theoritical results.