Finite-time combination synchronization of uncertain complex networks by sliding mode control
Meng Zhang, Meiling Xu, Min Han · 2017 4th International Conference on Information, Cybernetics and Computational Social Systems (ICCSS) · 2017
Over the last few years, the combination synchronization of chaotic system receives a special attention. This paper introduces the idea of combination synchronization into complex networks. Based on sliding mode control (SMC) principle, the finite-time combination synchronization (FTCS) of four uncertain complex networks which combining as the form of A+B+C-D is investigated. And there are unknown parameters and uncertain disturbances in all the network models. By using finite time stability theory and linear matrix inequality, designing appropriate network sliding mode surface and control input, then obtain the synchronization condition of the FTCS and corresponding update laws of unknown parameters. The proposed method has a strong robustness which can overcome the influence of uncertain disturbances and identify the unknown parameters of nodes. Furthermore, the method can estimate the high bounds of the synchronous settling time. Simulation experiment proves the feasibility and effectiveness of the proposed method.