On Synchronization Control Of Stochastic Complex Network And Its Application

Complex network is composed of a great number of nodes through the mutual connection of edges, with complex topology structure and dynamics features. Synchronization control of complex network is one of the most hot issues in the world. In the real world, because of the influence caused by the change of the environment and the stochastic factors in information traffic, the stochastic phenomena of complex network can not be ignored. Therefore, synchronization control of complex network with stochastic factors is investigated, which is meaningful for the understanding and application of complex network. Chaotic systems with intrinsic randomness and sensitivity to initial values are widely used in secure communication systems. Based on synchronization of stochastic complex network in this dissertation, the chaotic secure communication system with multiple nodes is constructed, and applied in the satellite formation. According to the stochastic analysis theory, Lyapunov theory of stability and the quality of Kronecker product, sufficient conditions for mean square synchronization are derived. The main work can be summarized as follows:Firstly, the synchronization of complex network with two random nonlinearities and coupling delay is considered. With pinning control schemes and Lyapunov theory of stability, an adaptive controller is designed to achieve the synchronization, and the pinning selection strategy is given. The effectiveness of the controller and the pinning criteria are demonstrated by several numerical simulation examples. Furthermore, the chaotic secure communication system is set up based on the synchronization of the complex network.Secondly, the distributed synchronization of complex network with multiple random nonlinearities is investigated. Based on stochastic analysis theory, a sufficient condition for mean square synchronization is derived. The designed controller can be also applied to the occasion for packet loss of control input. At last, chaotic secure communication system based on the synchronization of stochastic complex synchronization network is applied to the satellite formation. Compared with the previous chapter, the communication performance is improved in practical application.Thirdly, the synchronization of complex network with multiple random nonlinearities is further researched. Coupling random disturbance and time-varying delay are considered. Some sufficient conditions for mean square synchronization are achieved. Furthermore, the chaotic secure communication system with multiple nodes is constructed.Finally, the main work of this dissertation is summarized and some future research directions are put forward.