Synchronization Control Of Markov Jumping Complex Networks With Incomplete Information

With the rapid development of computing equipment and cloud computing technology in recent years,the scale of networked systems is increasing day by day,and the complexity of networked systems is also unprecedented.As a system containing a large number of subsystems and their interactions through couplings,complex network systems have penetrated into many fields such as mathematical sciences,social sciences,life sciences,and engineering sciences.However,in the actual system,the limitation of working environment or cost makes the control information,transmission information,or system status information of the system unable to be completely obtained.Secondly,the effects of various non-linear factors,external and human interference are inevitable in the actual engineering system.These factors will cause the randomness and incomplete information of the controlled system,which may not only reduce the dynamic performance of the controlled system but even cause instability of the controlled system as well.This imposes more stringent requirements on the modeling accuracy of actual networked control systems,and it also urgently needs to research and develop the corresponding stability analysis,filtering and control technologies,and related theories.Therefore,it is of great practical significance and theoretical value to study the synchronization control problem of complex networks with Markov jumping under incomplete information.This dissertation focuses on the problems of Markov jumping,actuator failures,parameter uncertainties,unknown nonlinear functions,and external malicious cyber attacks in discrete-time complex network systems.By using state feedback control strategies,a set of synchronization controllers are designed to synchronize the state of the complex network system,and then sufficient conditions for the synchronization of the complex network system under the above conditions are given.The main work of this dissertation can be summarized as follows:1.The synchronization control problem of Markov jumping complex networks with actuator failures under deception attacks is studied.Considering the control information is affected by actuator failure and deception attacks,as well as complex network systems have jumping system and coupling parameters,a Markov jumping complex network system model with random deception attacks and actuator failures is established.Then,by analyzing the stability problem of the synchronization error system,and further giving the design strategy of the synchronization controllers,the synchronization control problem of the Markov jumping complex network system is solved.Finally,a numerical simulation example is used to illustrate the effectiveness of the synchronization controllers design strategies.2.The synchronization control problem of uncertain Markov jumping complex networks under mixed-type attacks environment is studied.Considering the control information is affected by mixed-type attacks,and complex network systems have jumping system and coupling parameters,as well as system parameter uncertainty,an uncertain Markov jumping complex network system model with random mixed-type attacks is established.Then use Lyapunov stability theory and linear matrix inequality to analyze the synchronization error system,and then derive sufficient conditions for the stability of the synchronization error system.The corresponding controllers design strategies are all given in this character.Finally,a numerical simulation example is used to illustrate the effectiveness of the synchronization controllers design strategies.Finally,on the basis of summarizing the content of this dissertation,the other problems and engineering applications of Markov jumping complex networks with incomplete information are summarized and prospected.