| Complex networks(CNs)are a class of large-scale networks which are composed of many nodes connected with each other,where different nodes stand for the individuals with some specific dynamics.In recent years,CNs have been widely employed in the practical field due to the rapid development of network information technology,which has become a scientific frontier topic and the related control problems have received extensive attention.On the other hand,due to the constraints of network resources and system facilities,it’s common for limited communication in practical engineering.Thus,it has theoretical value and practical significance for CNs to consider the stability and synchronization control with limited communication.Based on the mathematical models of CNs,this thesis considers the synchronization control problem with limited communication.The main contents are as follows:(1)The adaptive event-triggered synchronization control problem is investigated for a class of CNs with quantization and cyber-attacks.Firstly,considering the effect of adaptive event-triggered sampling,quantization and cyber-attacks,a novel synchronization error model is established.By employing Lyapunov stability theory,some sufficient conditions are derived to guarantee the asymptotic stability of the augmented synchronization error system.Moreover,the co-design problem of the controller and adaptive event-triggered scheme are also solved in terms of solving the solution of linear matrix inequality(LMI).Finally,a numerical example is chosen to indicate the effectiveness of the proposed method.(2)The problem of the non-fragile synchronization control is discussed for the CNs with random dynamics and time-varying delay under cyber-attacks.Firstly,in order to save communication resources,a decentralized adaptive event-triggered scheme is introduced.Secondly,considering that the controller produces some small gain changes,the concept of non-fragility is chosen.Due to the possible cyber-attacks and time-varying delay in network communication,a new security synchronization error model CNs is established.By using Lyapunov stability method,sufficient conditions are obtained for the asymptotic stability of the error system.By solving LMI,the parameter matrices of controller gain and adaptive event-triggered mechanism are obtained.Finally,a numerical simulation example is presented to verify the effectiveness of the proposed method.(3)The problem of the output pinning synchronization control is discussed for a class of CNs with time-delay and random saturations under cyber-attacks.Firstly,in order to save network communication resources effectively,a decentralized adaptive event-triggered mechanism is introduced.Secondly,considering the influence of random saturation and cyber-attacks,a novel output pinned synchronization errormodel is established.Thirdly,the sufficient condition for the stability of the output error system is obtained by Lyapunov stability method,and the controller gain and event-triggered parameter matrix are also obtained in terms of solving the solution of LMI.Finally,a simulation example is given to verify the effectiveness of the proposed method. |
