Exponential Stabilization And Tracking Control Of Complex Network System

In recent years, the exponential stabilization and tracking control problem of complex network system has been widely concerned in different disciplines, and a large number of research results have been derived. In this thesis, exponential stabilization and tracking control of several complex network models are investigated. By using the method of Lyapunov function, the criterion for exponential stabilization is established, and the systems achieve tracking control under the control of a suitable designed controller. Finally, numerical simulations are presented to verify the feasibility and effectiveness of the proposed theoretical results.In the first chapter, the research background, research status of complex networks, and the main innovations of this thesis are introduced. In the second chapter, a class of coupled neural networks with different internal time-delays and coupling delays is investigated, which consists of nodes of different dimensions. And it overcomes the problem that the nodes must have the same dimension or the delays are same in the large number of existing research results. By constructing Lyapunov functionals and using the linear matrix inequality(LMI), the criteria of exponential stabilization for the coupled dynamical system are established. Numerical examples verify the feasibility and effectiveness of the proposed theoretical results. In the third chapter, the output tracking control for switched system with time-varying delays and delayed coupling is concerned. The switched systems consist of time-varying delays, delayed coupling and nodes of different dimensions. By modeling a new switched system, more practical network systems can achieve tracking control on the basis of existing results. A delay-dependent exponential stability criterion is obtained for the switched systems with the designed state feedback tracking controller. Numerical examples are presented to show the effectiveness of the proposed H-infinity output tracking design. In the fourth chapter, the output tracking control for switched system with mixed time-varying delays and delayed coupling is investigated. Discrete time-varying delays and distributed time-varying delays are considered. Under the control of the designed state feedback tracking controller, the output of the new switched system model achieves tracking control to the given model. Numerical Simulation is provided to show the effectiveness and the feasibility. In the fifth chapter, the summary of this paper and the prospect of further research are given.