Research On Synchronous Sampled-Data Control Of Complex Dynamic Network

The complex dynamic network can be seen everywhere in the production of human life.Synchronization,as one of the most important characteristic of network,has attracted the attention and research of scholars from all walks of life.Based on the previous studies and by using the knowledge of the matrix analysis,Lyapunov stability theory,the dissertation investigates the synchronization control problem for complex dynamical networks,which includes:event-triggered control under a deterioration network,the analysis of H?performance property and sampled-data control.The main results are summarized in the following:(1)For the general complex dynamic network with network deterioration term unknown,this paper studies the synchronization control problem of the network.The main purpose is to design an event-triggered pinning controller such that the closed-loop system is asymptotically stable.First,in order to reduce the utilization rate of communication bandwidth,the event-triggered mechanism is considered.Then,through Lyapunov functions and adaptive schemes,the corresponding pinning controller is designed which can achieve the synchronization for the network when the deterioration phenomenon appears.Finally,a practical Chua circuit is employed to elaborate the effectiveness and feasibility of the proposed method.(2)The dissipative-based sampled-data synchronization control problem for complex dynamical networks with time-varying delay is considered here.The main purpose is focused on designing a sampled-data synchronization controller such that the resulting synchronization error system is stable and satisfies a H? performance property.A delay-dependent Lyapunov-Krasovskii functional(LKF)and some novel integral inequalities are adopted to make full use of the boundedness information of the sampling period.Then,some sufficient conditions which ensure the synchronization error system is stable and H?performance are derived.Based on these conditions,a desired sampled-data controller is designed by a simple decoupling matrix method.Finally,two examples are employed to show the effectiveness and the reduced conservatism of the presented scheme.