Synchronization And H_? Synchronization Of Multi-weight Complex Networks With Deterministic And Uncertain Internal Coupling Matrices

Recently,many authors have investigated the synchronization and H?synchronization.However,the synchronization and H? synchronization for multi-weighted complex networks have rarely been considered.Especially,the multi-weighted complex networks with switching topology have never been studied.Therefore,in this paper,we investigated the synchronization and H? synchronization for multi-weighted complex networks with fixed and switching topology,respectively.Moreover,due to modeling errors,parameter perturbations,external disturbances etc.,the uncertainties in the inner coupling relations among network nodes are ubiquitous,which will impact on the synchronization in complex networks.On the other hand,by considering the difficulty in achieving synchronization in a complex network,we also studied the adaptive state controller for the multi-weighed complex networks with uncertain inner coupling matrix.In this paper,we discussed the synchronization and H? synchronization for multi-weighted complex networks by utilizing graph theory,Lyapunov functional,stability theory,adaptive control technique and some inequality techniques.First,some synchronization and H? synchronization criteria were established by exploiting Lyapunov functional and some inequality techniques.Second,we analyzed the synchronization and H? synchronization for multi-weighted complex networks with uncertain inner coupling matrix and derived some criteria to ensure such network can achieve synchronization and H? synchronization.Then,by.designing appropriate adaptive state feedback controller,some sufficient conditions were given to ensure the multi-weighted complex networks with uncertain inner coupling matrix can achieve adaptive synchronization and H? synchronization.Finally,some numerical simulation examples were provided to verify the correctness and effectiveness of the derived theoretical results.